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Finding the Third Proportional to 539,352 and 1,182,384

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Solution

The third proportional to 539,352 and 1,182,384 is: 2,592,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,352 : 1,182,384 = 1,182,384 : x
  2. Step 2: Convert to fraction form
    539,352/1,182,384 = 1,182,384/x
  3. Step 3: Cross multiply
    539,352x = 1,182,384 × 1,182,384
  4. Step 4: Simplify right side
    539,352x = 1,398,031,923,456
  5. Step 5: Solve for x
    x = 1,398,031,923,456/539,352
  6. Step 6: Final answer
    x = 2,592,058.48

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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.