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Finding the Third Proportional to 687,926 and 1,042,275

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Solution

The third proportional to 687,926 and 1,042,275 is: 1,579,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,926 : 1,042,275 = 1,042,275 : x
  2. Step 2: Convert to fraction form
    687,926/1,042,275 = 1,042,275/x
  3. Step 3: Cross multiply
    687,926x = 1,042,275 × 1,042,275
  4. Step 4: Simplify right side
    687,926x = 1,086,337,175,625
  5. Step 5: Solve for x
    x = 1,086,337,175,625/687,926
  6. Step 6: Final answer
    x = 1,579,148.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.