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Finding the Third Proportional to 754,082 and 1,643,641

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Solution

The third proportional to 754,082 and 1,643,641 is: 3,582,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,082 : 1,643,641 = 1,643,641 : x
  2. Step 2: Convert to fraction form
    754,082/1,643,641 = 1,643,641/x
  3. Step 3: Cross multiply
    754,082x = 1,643,641 × 1,643,641
  4. Step 4: Simplify right side
    754,082x = 2,701,555,736,881
  5. Step 5: Solve for x
    x = 2,701,555,736,881/754,082
  6. Step 6: Final answer
    x = 3,582,575.55

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Why These Related Problems?

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