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Finding the Third Proportional to 548,352 and 1,270,656

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Solution

The third proportional to 548,352 and 1,270,656 is: 2,944,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,352 : 1,270,656 = 1,270,656 : x
  2. Step 2: Convert to fraction form
    548,352/1,270,656 = 1,270,656/x
  3. Step 3: Cross multiply
    548,352x = 1,270,656 × 1,270,656
  4. Step 4: Simplify right side
    548,352x = 1,614,566,670,336
  5. Step 5: Solve for x
    x = 1,614,566,670,336/548,352
  6. Step 6: Final answer
    x = 2,944,398.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.