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Finding the Third Proportional to 534,047 and 826,639

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Solution

The third proportional to 534,047 and 826,639 is: 1,279,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,047 : 826,639 = 826,639 : x
  2. Step 2: Convert to fraction form
    534,047/826,639 = 826,639/x
  3. Step 3: Cross multiply
    534,047x = 826,639 × 826,639
  4. Step 4: Simplify right side
    534,047x = 683,332,036,321
  5. Step 5: Solve for x
    x = 683,332,036,321/534,047
  6. Step 6: Final answer
    x = 1,279,535.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.