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Finding the Third Proportional to 711,902 and 1,546,920

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Solution

The third proportional to 711,902 and 1,546,920 is: 3,361,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,902 : 1,546,920 = 1,546,920 : x
  2. Step 2: Convert to fraction form
    711,902/1,546,920 = 1,546,920/x
  3. Step 3: Cross multiply
    711,902x = 1,546,920 × 1,546,920
  4. Step 4: Simplify right side
    711,902x = 2,392,961,486,400
  5. Step 5: Solve for x
    x = 2,392,961,486,400/711,902
  6. Step 6: Final answer
    x = 3,361,363.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.