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Finding the Third Proportional to 811,791 and 1,752,291

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Solution

The third proportional to 811,791 and 1,752,291 is: 3,782,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,791 : 1,752,291 = 1,752,291 : x
  2. Step 2: Convert to fraction form
    811,791/1,752,291 = 1,752,291/x
  3. Step 3: Cross multiply
    811,791x = 1,752,291 × 1,752,291
  4. Step 4: Simplify right side
    811,791x = 3,070,523,748,681
  5. Step 5: Solve for x
    x = 3,070,523,748,681/811,791
  6. Step 6: Final answer
    x = 3,782,406.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.