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Finding the Third Proportional to 767,250 and 1,614,051

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Solution

The third proportional to 767,250 and 1,614,051 is: 3,395,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,250 : 1,614,051 = 1,614,051 : x
  2. Step 2: Convert to fraction form
    767,250/1,614,051 = 1,614,051/x
  3. Step 3: Cross multiply
    767,250x = 1,614,051 × 1,614,051
  4. Step 4: Simplify right side
    767,250x = 2,605,160,630,601
  5. Step 5: Solve for x
    x = 2,605,160,630,601/767,250
  6. Step 6: Final answer
    x = 3,395,452.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.