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Finding the Third Proportional to 811,272 and 1,731,129

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Solution

The third proportional to 811,272 and 1,731,129 is: 3,693,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,272 : 1,731,129 = 1,731,129 : x
  2. Step 2: Convert to fraction form
    811,272/1,731,129 = 1,731,129/x
  3. Step 3: Cross multiply
    811,272x = 1,731,129 × 1,731,129
  4. Step 4: Simplify right side
    811,272x = 2,996,807,614,641
  5. Step 5: Solve for x
    x = 2,996,807,614,641/811,272
  6. Step 6: Final answer
    x = 3,693,961.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.