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Finding the Third Proportional to 681,004.13 and 954,407.81

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Solution

The third proportional to 681,004.13 and 954,407.81 is: 1,337,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,004.13 : 954,407.81 = 954,407.81 : x
  2. Step 2: Convert to fraction form
    681,004.13/954,407.81 = 954,407.81/x
  3. Step 3: Cross multiply
    681,004.13x = 954,407.81 × 954,407.81
  4. Step 4: Simplify right side
    681,004.13x = 910,894,272,561.04
  5. Step 5: Solve for x
    x = 910,894,272,561.04/681,004.13
  6. Step 6: Final answer
    x = 1,337,575.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.