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Finding the Third Proportional to 1,766,472 and 3,812,724

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Solution

The third proportional to 1,766,472 and 3,812,724 is: 8,229,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,472 : 3,812,724 = 3,812,724 : x
  2. Step 2: Convert to fraction form
    1,766,472/3,812,724 = 3,812,724/x
  3. Step 3: Cross multiply
    1,766,472x = 3,812,724 × 3,812,724
  4. Step 4: Simplify right side
    1,766,472x = 14,536,864,300,176
  5. Step 5: Solve for x
    x = 14,536,864,300,176/1,766,472
  6. Step 6: Final answer
    x = 8,229,320.53

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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.