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Finding the Third Proportional to 2,023,648 and 4,377,532

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Solution

The third proportional to 2,023,648 and 4,377,532 is: 9,469,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,648 : 4,377,532 = 4,377,532 : x
  2. Step 2: Convert to fraction form
    2,023,648/4,377,532 = 4,377,532/x
  3. Step 3: Cross multiply
    2,023,648x = 4,377,532 × 4,377,532
  4. Step 4: Simplify right side
    2,023,648x = 19,162,786,411,024
  5. Step 5: Solve for x
    x = 19,162,786,411,024/2,023,648
  6. Step 6: Final answer
    x = 9,469,426.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.