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Finding the Third Proportional to 853,452 and 1,282,446

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Solution

The third proportional to 853,452 and 1,282,446 is: 1,927,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,452 : 1,282,446 = 1,282,446 : x
  2. Step 2: Convert to fraction form
    853,452/1,282,446 = 1,282,446/x
  3. Step 3: Cross multiply
    853,452x = 1,282,446 × 1,282,446
  4. Step 4: Simplify right side
    853,452x = 1,644,667,742,916
  5. Step 5: Solve for x
    x = 1,644,667,742,916/853,452
  6. Step 6: Final answer
    x = 1,927,077.03

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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.