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Finding the Third Proportional to 765,738 and 1,126,493

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Solution

The third proportional to 765,738 and 1,126,493 is: 1,657,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,738 : 1,126,493 = 1,126,493 : x
  2. Step 2: Convert to fraction form
    765,738/1,126,493 = 1,126,493/x
  3. Step 3: Cross multiply
    765,738x = 1,126,493 × 1,126,493
  4. Step 4: Simplify right side
    765,738x = 1,268,986,479,049
  5. Step 5: Solve for x
    x = 1,268,986,479,049/765,738
  6. Step 6: Final answer
    x = 1,657,207.14

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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.