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Finding the Third Proportional to 947,489.27 and 1,457,829.14

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Solution

The third proportional to 947,489.27 and 1,457,829.14 is: 2,243,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,489.27 : 1,457,829.14 = 1,457,829.14 : x
  2. Step 2: Convert to fraction form
    947,489.27/1,457,829.14 = 1,457,829.14/x
  3. Step 3: Cross multiply
    947,489.27x = 1,457,829.14 × 1,457,829.14
  4. Step 4: Simplify right side
    947,489.27x = 2,125,265,803,255.43
  5. Step 5: Solve for x
    x = 2,125,265,803,255.43/947,489.27
  6. Step 6: Final answer
    x = 2,243,049.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.