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Finding the Third Proportional to 2,142,044 and 4,636,744

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Solution

The third proportional to 2,142,044 and 4,636,744 is: 10,036,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,044 : 4,636,744 = 4,636,744 : x
  2. Step 2: Convert to fraction form
    2,142,044/4,636,744 = 4,636,744/x
  3. Step 3: Cross multiply
    2,142,044x = 4,636,744 × 4,636,744
  4. Step 4: Simplify right side
    2,142,044x = 21,499,394,921,536
  5. Step 5: Solve for x
    x = 21,499,394,921,536/2,142,044
  6. Step 6: Final answer
    x = 10,036,859.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.