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Finding the Third Proportional to 765,915 and 1,073,292

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Solution

The third proportional to 765,915 and 1,073,292 is: 1,504,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,915 : 1,073,292 = 1,073,292 : x
  2. Step 2: Convert to fraction form
    765,915/1,073,292 = 1,073,292/x
  3. Step 3: Cross multiply
    765,915x = 1,073,292 × 1,073,292
  4. Step 4: Simplify right side
    765,915x = 1,151,955,717,264
  5. Step 5: Solve for x
    x = 1,151,955,717,264/765,915
  6. Step 6: Final answer
    x = 1,504,025.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.