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Finding the Third Proportional to 574,763,971.50 and 1,258,340,365.50

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Solution

The third proportional to 574,763,971.50 and 1,258,340,365.50 is: 2,754,905,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,763,971.50 : 1,258,340,365.50 = 1,258,340,365.50 : x
  2. Step 2: Convert to fraction form
    574,763,971.50/1,258,340,365.50 = 1,258,340,365.50/x
  3. Step 3: Cross multiply
    574,763,971.50x = 1,258,340,365.50 × 1,258,340,365.50
  4. Step 4: Simplify right side
    574,763,971.50x = 1,583,420,475,446,673,664
  5. Step 5: Solve for x
    x = 1,583,420,475,446,673,664/574,763,971.50
  6. Step 6: Final answer
    x = 2,754,905,585.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.