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Finding the Third Proportional to 541,476 and 1,190,952

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Solution

The third proportional to 541,476 and 1,190,952 is: 2,619,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,476 : 1,190,952 = 1,190,952 : x
  2. Step 2: Convert to fraction form
    541,476/1,190,952 = 1,190,952/x
  3. Step 3: Cross multiply
    541,476x = 1,190,952 × 1,190,952
  4. Step 4: Simplify right side
    541,476x = 1,418,366,666,304
  5. Step 5: Solve for x
    x = 1,418,366,666,304/541,476
  6. Step 6: Final answer
    x = 2,619,445.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.