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Finding the Third Proportional to 815,842.13 and 1,728,931.71

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Solution

The third proportional to 815,842.13 and 1,728,931.71 is: 3,663,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,842.13 : 1,728,931.71 = 1,728,931.71 : x
  2. Step 2: Convert to fraction form
    815,842.13/1,728,931.71 = 1,728,931.71/x
  3. Step 3: Cross multiply
    815,842.13x = 1,728,931.71 × 1,728,931.71
  4. Step 4: Simplify right side
    815,842.13x = 2,989,204,861,085.27
  5. Step 5: Solve for x
    x = 2,989,204,861,085.27/815,842.13
  6. Step 6: Final answer
    x = 3,663,950.13

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.