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Finding the Third Proportional to 583,882 and 886,789

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Solution

The third proportional to 583,882 and 886,789 is: 1,346,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,882 : 886,789 = 886,789 : x
  2. Step 2: Convert to fraction form
    583,882/886,789 = 886,789/x
  3. Step 3: Cross multiply
    583,882x = 886,789 × 886,789
  4. Step 4: Simplify right side
    583,882x = 786,394,730,521
  5. Step 5: Solve for x
    x = 786,394,730,521/583,882
  6. Step 6: Final answer
    x = 1,346,838.45

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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.