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Finding the Third Proportional to 2,140,963 and 4,995,748

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Solution

The third proportional to 2,140,963 and 4,995,748 is: 11,657,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,963 : 4,995,748 = 4,995,748 : x
  2. Step 2: Convert to fraction form
    2,140,963/4,995,748 = 4,995,748/x
  3. Step 3: Cross multiply
    2,140,963x = 4,995,748 × 4,995,748
  4. Step 4: Simplify right side
    2,140,963x = 24,957,498,079,504
  5. Step 5: Solve for x
    x = 24,957,498,079,504/2,140,963
  6. Step 6: Final answer
    x = 11,657,136.57

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.