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Finding the Third Proportional to 1,121,742 and 2,432,748

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Solution

The third proportional to 1,121,742 and 2,432,748 is: 5,275,957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,742 : 2,432,748 = 2,432,748 : x
  2. Step 2: Convert to fraction form
    1,121,742/2,432,748 = 2,432,748/x
  3. Step 3: Cross multiply
    1,121,742x = 2,432,748 × 2,432,748
  4. Step 4: Simplify right side
    1,121,742x = 5,918,262,831,504
  5. Step 5: Solve for x
    x = 5,918,262,831,504/1,121,742
  6. Step 6: Final answer
    x = 5,275,957.24

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Why These Related Problems?

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