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Finding the Third Proportional to 715,444 and 1,513,710

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Solution

The third proportional to 715,444 and 1,513,710 is: 3,202,651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,444 : 1,513,710 = 1,513,710 : x
  2. Step 2: Convert to fraction form
    715,444/1,513,710 = 1,513,710/x
  3. Step 3: Cross multiply
    715,444x = 1,513,710 × 1,513,710
  4. Step 4: Simplify right side
    715,444x = 2,291,317,964,100
  5. Step 5: Solve for x
    x = 2,291,317,964,100/715,444
  6. Step 6: Final answer
    x = 3,202,651.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.