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Finding the Third Proportional to 681,730 and 1,009,471

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Solution

The third proportional to 681,730 and 1,009,471 is: 1,494,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,730 : 1,009,471 = 1,009,471 : x
  2. Step 2: Convert to fraction form
    681,730/1,009,471 = 1,009,471/x
  3. Step 3: Cross multiply
    681,730x = 1,009,471 × 1,009,471
  4. Step 4: Simplify right side
    681,730x = 1,019,031,699,841
  5. Step 5: Solve for x
    x = 1,019,031,699,841/681,730
  6. Step 6: Final answer
    x = 1,494,773.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.