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Finding the Third Proportional to 2,141,742 and 4,656,725

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Solution

The third proportional to 2,141,742 and 4,656,725 is: 10,124,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,742 : 4,656,725 = 4,656,725 : x
  2. Step 2: Convert to fraction form
    2,141,742/4,656,725 = 4,656,725/x
  3. Step 3: Cross multiply
    2,141,742x = 4,656,725 × 4,656,725
  4. Step 4: Simplify right side
    2,141,742x = 21,685,087,725,625
  5. Step 5: Solve for x
    x = 21,685,087,725,625/2,141,742
  6. Step 6: Final answer
    x = 10,124,976.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.