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Finding the Third Proportional to 716,151.38 and 1,035,681.19

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Solution

The third proportional to 716,151.38 and 1,035,681.19 is: 1,497,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,151.38 : 1,035,681.19 = 1,035,681.19 : x
  2. Step 2: Convert to fraction form
    716,151.38/1,035,681.19 = 1,035,681.19/x
  3. Step 3: Cross multiply
    716,151.38x = 1,035,681.19 × 1,035,681.19
  4. Step 4: Simplify right side
    716,151.38x = 1,072,635,522,141.41
  5. Step 5: Solve for x
    x = 1,072,635,522,141.41/716,151.38
  6. Step 6: Final answer
    x = 1,497,777.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.