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Finding the Third Proportional to 513,182 and 1,125,508

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Solution

The third proportional to 513,182 and 1,125,508 is: 2,468,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,182 : 1,125,508 = 1,125,508 : x
  2. Step 2: Convert to fraction form
    513,182/1,125,508 = 1,125,508/x
  3. Step 3: Cross multiply
    513,182x = 1,125,508 × 1,125,508
  4. Step 4: Simplify right side
    513,182x = 1,266,768,258,064
  5. Step 5: Solve for x
    x = 1,266,768,258,064/513,182
  6. Step 6: Final answer
    x = 2,468,458.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.