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Finding the Third Proportional to 830,739 and 1,244,721

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Solution

The third proportional to 830,739 and 1,244,721 is: 1,865,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,739 : 1,244,721 = 1,244,721 : x
  2. Step 2: Convert to fraction form
    830,739/1,244,721 = 1,244,721/x
  3. Step 3: Cross multiply
    830,739x = 1,244,721 × 1,244,721
  4. Step 4: Simplify right side
    830,739x = 1,549,330,367,841
  5. Step 5: Solve for x
    x = 1,549,330,367,841/830,739
  6. Step 6: Final answer
    x = 1,865,002.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.