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Finding the Third Proportional to 781,195,402.13 and 1,190,107,324.69

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Solution

The third proportional to 781,195,402.13 and 1,190,107,324.69 is: 1,813,061,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,195,402.13 : 1,190,107,324.69 = 1,190,107,324.69 : x
  2. Step 2: Convert to fraction form
    781,195,402.13/1,190,107,324.69 = 1,190,107,324.69/x
  3. Step 3: Cross multiply
    781,195,402.13x = 1,190,107,324.69 × 1,190,107,324.69
  4. Step 4: Simplify right side
    781,195,402.13x = 1,416,355,444,274,838,528
  5. Step 5: Solve for x
    x = 1,416,355,444,274,838,528/781,195,402.13
  6. Step 6: Final answer
    x = 1,813,061,674.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.