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Finding the Third Proportional to 687,897 and 1,042,233

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Solution

The third proportional to 687,897 and 1,042,233 is: 1,579,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,897 : 1,042,233 = 1,042,233 : x
  2. Step 2: Convert to fraction form
    687,897/1,042,233 = 1,042,233/x
  3. Step 3: Cross multiply
    687,897x = 1,042,233 × 1,042,233
  4. Step 4: Simplify right side
    687,897x = 1,086,249,626,289
  5. Step 5: Solve for x
    x = 1,086,249,626,289/687,897
  6. Step 6: Final answer
    x = 1,579,087.61

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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.