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Finding the Third Proportional to 2,587,140 and 5,442,381

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Solution

The third proportional to 2,587,140 and 5,442,381 is: 11,448,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,140 : 5,442,381 = 5,442,381 : x
  2. Step 2: Convert to fraction form
    2,587,140/5,442,381 = 5,442,381/x
  3. Step 3: Cross multiply
    2,587,140x = 5,442,381 × 5,442,381
  4. Step 4: Simplify right side
    2,587,140x = 29,619,510,949,161
  5. Step 5: Solve for x
    x = 29,619,510,949,161/2,587,140
  6. Step 6: Final answer
    x = 11,448,746.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.