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Finding the Third Proportional to 714,610 and 1,569,201

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Solution

The third proportional to 714,610 and 1,569,201 is: 3,445,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,610 : 1,569,201 = 1,569,201 : x
  2. Step 2: Convert to fraction form
    714,610/1,569,201 = 1,569,201/x
  3. Step 3: Cross multiply
    714,610x = 1,569,201 × 1,569,201
  4. Step 4: Simplify right side
    714,610x = 2,462,391,778,401
  5. Step 5: Solve for x
    x = 2,462,391,778,401/714,610
  6. Step 6: Final answer
    x = 3,445,784.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.