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Finding the Third Proportional to 2,983,864 and 6,439,472

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Solution

The third proportional to 2,983,864 and 6,439,472 is: 13,897,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,864 : 6,439,472 = 6,439,472 : x
  2. Step 2: Convert to fraction form
    2,983,864/6,439,472 = 6,439,472/x
  3. Step 3: Cross multiply
    2,983,864x = 6,439,472 × 6,439,472
  4. Step 4: Simplify right side
    2,983,864x = 41,466,799,638,784
  5. Step 5: Solve for x
    x = 41,466,799,638,784/2,983,864
  6. Step 6: Final answer
    x = 13,897,013.95

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Why These Related Problems?

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