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Finding the Third Proportional to 650,898 and 1,007,748

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Solution

The third proportional to 650,898 and 1,007,748 is: 1,560,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,898 : 1,007,748 = 1,007,748 : x
  2. Step 2: Convert to fraction form
    650,898/1,007,748 = 1,007,748/x
  3. Step 3: Cross multiply
    650,898x = 1,007,748 × 1,007,748
  4. Step 4: Simplify right side
    650,898x = 1,015,556,031,504
  5. Step 5: Solve for x
    x = 1,015,556,031,504/650,898
  6. Step 6: Final answer
    x = 1,560,238.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.