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Finding the Third Proportional to 814,527 and 1,789,641

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Solution

The third proportional to 814,527 and 1,789,641 is: 3,932,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,527 : 1,789,641 = 1,789,641 : x
  2. Step 2: Convert to fraction form
    814,527/1,789,641 = 1,789,641/x
  3. Step 3: Cross multiply
    814,527x = 1,789,641 × 1,789,641
  4. Step 4: Simplify right side
    814,527x = 3,202,814,908,881
  5. Step 5: Solve for x
    x = 3,202,814,908,881/814,527
  6. Step 6: Final answer
    x = 3,932,116.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.