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Finding the Third Proportional to 1,449,724 and 3,074,840

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Solution

The third proportional to 1,449,724 and 3,074,840 is: 6,521,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,724 : 3,074,840 = 3,074,840 : x
  2. Step 2: Convert to fraction form
    1,449,724/3,074,840 = 3,074,840/x
  3. Step 3: Cross multiply
    1,449,724x = 3,074,840 × 3,074,840
  4. Step 4: Simplify right side
    1,449,724x = 9,454,641,025,600
  5. Step 5: Solve for x
    x = 9,454,641,025,600/1,449,724
  6. Step 6: Final answer
    x = 6,521,683.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.