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Finding the Third Proportional to 787,461.75 and 1,155,358.69

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Solution

The third proportional to 787,461.75 and 1,155,358.69 is: 1,695,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,461.75 : 1,155,358.69 = 1,155,358.69 : x
  2. Step 2: Convert to fraction form
    787,461.75/1,155,358.69 = 1,155,358.69/x
  3. Step 3: Cross multiply
    787,461.75x = 1,155,358.69 × 1,155,358.69
  4. Step 4: Simplify right side
    787,461.75x = 1,334,853,696,781.72
  5. Step 5: Solve for x
    x = 1,334,853,696,781.72/787,461.75
  6. Step 6: Final answer
    x = 1,695,134.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.