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Finding the Third Proportional to 709,464 and 1,043,448

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Solution

The third proportional to 709,464 and 1,043,448 is: 1,534,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,464 : 1,043,448 = 1,043,448 : x
  2. Step 2: Convert to fraction form
    709,464/1,043,448 = 1,043,448/x
  3. Step 3: Cross multiply
    709,464x = 1,043,448 × 1,043,448
  4. Step 4: Simplify right side
    709,464x = 1,088,783,728,704
  5. Step 5: Solve for x
    x = 1,088,783,728,704/709,464
  6. Step 6: Final answer
    x = 1,534,656.77

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Why These Related Problems?

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