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Finding the Third Proportional to 755,523 and 1,643,967

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Solution

The third proportional to 755,523 and 1,643,967 is: 3,577,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,523 : 1,643,967 = 1,643,967 : x
  2. Step 2: Convert to fraction form
    755,523/1,643,967 = 1,643,967/x
  3. Step 3: Cross multiply
    755,523x = 1,643,967 × 1,643,967
  4. Step 4: Simplify right side
    755,523x = 2,702,627,497,089
  5. Step 5: Solve for x
    x = 2,702,627,497,089/755,523
  6. Step 6: Final answer
    x = 3,577,161.12

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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.