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Finding the Third Proportional to 2,182,329 and 4,742,391

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Solution

The third proportional to 2,182,329 and 4,742,391 is: 10,305,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,329 : 4,742,391 = 4,742,391 : x
  2. Step 2: Convert to fraction form
    2,182,329/4,742,391 = 4,742,391/x
  3. Step 3: Cross multiply
    2,182,329x = 4,742,391 × 4,742,391
  4. Step 4: Simplify right side
    2,182,329x = 22,490,272,396,881
  5. Step 5: Solve for x
    x = 22,490,272,396,881/2,182,329
  6. Step 6: Final answer
    x = 10,305,628.71

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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.