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Finding the Third Proportional to 687,930 and 1,042,300

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Solution

The third proportional to 687,930 and 1,042,300 is: 1,579,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,930 : 1,042,300 = 1,042,300 : x
  2. Step 2: Convert to fraction form
    687,930/1,042,300 = 1,042,300/x
  3. Step 3: Cross multiply
    687,930x = 1,042,300 × 1,042,300
  4. Step 4: Simplify right side
    687,930x = 1,086,389,290,000
  5. Step 5: Solve for x
    x = 1,086,389,290,000/687,930
  6. Step 6: Final answer
    x = 1,579,214.88

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