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Finding the Third Proportional to 710,118 and 998,829

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Solution

The third proportional to 710,118 and 998,829 is: 1,404,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,118 : 998,829 = 998,829 : x
  2. Step 2: Convert to fraction form
    710,118/998,829 = 998,829/x
  3. Step 3: Cross multiply
    710,118x = 998,829 × 998,829
  4. Step 4: Simplify right side
    710,118x = 997,659,371,241
  5. Step 5: Solve for x
    x = 997,659,371,241/710,118
  6. Step 6: Final answer
    x = 1,404,920.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.