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Finding the Third Proportional to 2,428,107 and 3,563,424

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Solution

The third proportional to 2,428,107 and 3,563,424 is: 5,229,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,107 : 3,563,424 = 3,563,424 : x
  2. Step 2: Convert to fraction form
    2,428,107/3,563,424 = 3,563,424/x
  3. Step 3: Cross multiply
    2,428,107x = 3,563,424 × 3,563,424
  4. Step 4: Simplify right side
    2,428,107x = 12,697,990,603,776
  5. Step 5: Solve for x
    x = 12,697,990,603,776/2,428,107
  6. Step 6: Final answer
    x = 5,229,584.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.