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Finding the Third Proportional to 754,051 and 1,643,578

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Solution

The third proportional to 754,051 and 1,643,578 is: 3,582,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,051 : 1,643,578 = 1,643,578 : x
  2. Step 2: Convert to fraction form
    754,051/1,643,578 = 1,643,578/x
  3. Step 3: Cross multiply
    754,051x = 1,643,578 × 1,643,578
  4. Step 4: Simplify right side
    754,051x = 2,701,348,642,084
  5. Step 5: Solve for x
    x = 2,701,348,642,084/754,051
  6. Step 6: Final answer
    x = 3,582,448.19

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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.