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Finding the Third Proportional to 526,182 and 1,136,563

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Solution

The third proportional to 526,182 and 1,136,563 is: 2,454,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,182 : 1,136,563 = 1,136,563 : x
  2. Step 2: Convert to fraction form
    526,182/1,136,563 = 1,136,563/x
  3. Step 3: Cross multiply
    526,182x = 1,136,563 × 1,136,563
  4. Step 4: Simplify right side
    526,182x = 1,291,775,452,969
  5. Step 5: Solve for x
    x = 1,291,775,452,969/526,182
  6. Step 6: Final answer
    x = 2,454,997.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.