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Finding the Third Proportional to 709,983 and 1,540,344

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Solution

The third proportional to 709,983 and 1,540,344 is: 3,341,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,983 : 1,540,344 = 1,540,344 : x
  2. Step 2: Convert to fraction form
    709,983/1,540,344 = 1,540,344/x
  3. Step 3: Cross multiply
    709,983x = 1,540,344 × 1,540,344
  4. Step 4: Simplify right side
    709,983x = 2,372,659,638,336
  5. Step 5: Solve for x
    x = 2,372,659,638,336/709,983
  6. Step 6: Final answer
    x = 3,341,854.15

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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.