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Finding the Third Proportional to 2,182,331 and 4,742,395

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Solution

The third proportional to 2,182,331 and 4,742,395 is: 10,305,636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,331 : 4,742,395 = 4,742,395 : x
  2. Step 2: Convert to fraction form
    2,182,331/4,742,395 = 4,742,395/x
  3. Step 3: Cross multiply
    2,182,331x = 4,742,395 × 4,742,395
  4. Step 4: Simplify right side
    2,182,331x = 22,490,310,336,025
  5. Step 5: Solve for x
    x = 22,490,310,336,025/2,182,331
  6. Step 6: Final answer
    x = 10,305,636.65

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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.