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Finding the Third Proportional to 765,234 and 1,124,496

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Solution

The third proportional to 765,234 and 1,124,496 is: 1,652,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,234 : 1,124,496 = 1,124,496 : x
  2. Step 2: Convert to fraction form
    765,234/1,124,496 = 1,124,496/x
  3. Step 3: Cross multiply
    765,234x = 1,124,496 × 1,124,496
  4. Step 4: Simplify right side
    765,234x = 1,264,491,254,016
  5. Step 5: Solve for x
    x = 1,264,491,254,016/765,234
  6. Step 6: Final answer
    x = 1,652,424.30

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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.