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Finding the Third Proportional to 2,141,782 and 3,141,141

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Solution

The third proportional to 2,141,782 and 3,141,141 is: 4,606,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,782 : 3,141,141 = 3,141,141 : x
  2. Step 2: Convert to fraction form
    2,141,782/3,141,141 = 3,141,141/x
  3. Step 3: Cross multiply
    2,141,782x = 3,141,141 × 3,141,141
  4. Step 4: Simplify right side
    2,141,782x = 9,866,766,781,881
  5. Step 5: Solve for x
    x = 9,866,766,781,881/2,141,782
  6. Step 6: Final answer
    x = 4,606,802.55

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