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Finding the Third Proportional to 865,166 and 1,157,287

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Solution

The third proportional to 865,166 and 1,157,287 is: 1,548,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,166 : 1,157,287 = 1,157,287 : x
  2. Step 2: Convert to fraction form
    865,166/1,157,287 = 1,157,287/x
  3. Step 3: Cross multiply
    865,166x = 1,157,287 × 1,157,287
  4. Step 4: Simplify right side
    865,166x = 1,339,313,200,369
  5. Step 5: Solve for x
    x = 1,339,313,200,369/865,166
  6. Step 6: Final answer
    x = 1,548,041.88

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.