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Finding the Third Proportional to 853,542 and 1,321,533

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Solution

The third proportional to 853,542 and 1,321,533 is: 2,046,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,542 : 1,321,533 = 1,321,533 : x
  2. Step 2: Convert to fraction form
    853,542/1,321,533 = 1,321,533/x
  3. Step 3: Cross multiply
    853,542x = 1,321,533 × 1,321,533
  4. Step 4: Simplify right side
    853,542x = 1,746,449,470,089
  5. Step 5: Solve for x
    x = 1,746,449,470,089/853,542
  6. Step 6: Final answer
    x = 2,046,120.13

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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.