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Finding the Third Proportional to 681,607 and 1,433,724

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Solution

The third proportional to 681,607 and 1,433,724 is: 3,015,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,607 : 1,433,724 = 1,433,724 : x
  2. Step 2: Convert to fraction form
    681,607/1,433,724 = 1,433,724/x
  3. Step 3: Cross multiply
    681,607x = 1,433,724 × 1,433,724
  4. Step 4: Simplify right side
    681,607x = 2,055,564,508,176
  5. Step 5: Solve for x
    x = 2,055,564,508,176/681,607
  6. Step 6: Final answer
    x = 3,015,762.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.