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Finding the Third Proportional to 755,514 and 1,637,589

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Solution

The third proportional to 755,514 and 1,637,589 is: 3,549,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,514 : 1,637,589 = 1,637,589 : x
  2. Step 2: Convert to fraction form
    755,514/1,637,589 = 1,637,589/x
  3. Step 3: Cross multiply
    755,514x = 1,637,589 × 1,637,589
  4. Step 4: Simplify right side
    755,514x = 2,681,697,732,921
  5. Step 5: Solve for x
    x = 2,681,697,732,921/755,514
  6. Step 6: Final answer
    x = 3,549,501.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.