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Finding the Third Proportional to 3,578,864 and 5,420,418

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Solution

The third proportional to 3,578,864 and 5,420,418 is: 8,209,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578,864 : 5,420,418 = 5,420,418 : x
  2. Step 2: Convert to fraction form
    3,578,864/5,420,418 = 5,420,418/x
  3. Step 3: Cross multiply
    3,578,864x = 5,420,418 × 5,420,418
  4. Step 4: Simplify right side
    3,578,864x = 29,380,931,294,724
  5. Step 5: Solve for x
    x = 29,380,931,294,724/3,578,864
  6. Step 6: Final answer
    x = 8,209,569.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.