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Finding the Third Proportional to 2,123,604 and 4,601,424

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Solution

The third proportional to 2,123,604 and 4,601,424 is: 9,970,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,604 : 4,601,424 = 4,601,424 : x
  2. Step 2: Convert to fraction form
    2,123,604/4,601,424 = 4,601,424/x
  3. Step 3: Cross multiply
    2,123,604x = 4,601,424 × 4,601,424
  4. Step 4: Simplify right side
    2,123,604x = 21,173,102,827,776
  5. Step 5: Solve for x
    x = 21,173,102,827,776/2,123,604
  6. Step 6: Final answer
    x = 9,970,363.04

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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.