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Finding the Third Proportional to 2,134,724 and 4,663,432

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Solution

The third proportional to 2,134,724 and 4,663,432 is: 10,187,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,724 : 4,663,432 = 4,663,432 : x
  2. Step 2: Convert to fraction form
    2,134,724/4,663,432 = 4,663,432/x
  3. Step 3: Cross multiply
    2,134,724x = 4,663,432 × 4,663,432
  4. Step 4: Simplify right side
    2,134,724x = 21,747,598,018,624
  5. Step 5: Solve for x
    x = 21,747,598,018,624/2,134,724
  6. Step 6: Final answer
    x = 10,187,545.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.