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Finding the Third Proportional to 750,344 and 1,642,992

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Solution

The third proportional to 750,344 and 1,642,992 is: 3,597,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,344 : 1,642,992 = 1,642,992 : x
  2. Step 2: Convert to fraction form
    750,344/1,642,992 = 1,642,992/x
  3. Step 3: Cross multiply
    750,344x = 1,642,992 × 1,642,992
  4. Step 4: Simplify right side
    750,344x = 2,699,422,712,064
  5. Step 5: Solve for x
    x = 2,699,422,712,064/750,344
  6. Step 6: Final answer
    x = 3,597,580.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.