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Finding the Third Proportional to 765,484 and 1,126,079

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Solution

The third proportional to 765,484 and 1,126,079 is: 1,656,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,484 : 1,126,079 = 1,126,079 : x
  2. Step 2: Convert to fraction form
    765,484/1,126,079 = 1,126,079/x
  3. Step 3: Cross multiply
    765,484x = 1,126,079 × 1,126,079
  4. Step 4: Simplify right side
    765,484x = 1,268,053,914,241
  5. Step 5: Solve for x
    x = 1,268,053,914,241/765,484
  6. Step 6: Final answer
    x = 1,656,538.76

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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.