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Finding the Third Proportional to 527,988 and 1,080,579

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Solution

The third proportional to 527,988 and 1,080,579 is: 2,211,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,988 : 1,080,579 = 1,080,579 : x
  2. Step 2: Convert to fraction form
    527,988/1,080,579 = 1,080,579/x
  3. Step 3: Cross multiply
    527,988x = 1,080,579 × 1,080,579
  4. Step 4: Simplify right side
    527,988x = 1,167,650,975,241
  5. Step 5: Solve for x
    x = 1,167,650,975,241/527,988
  6. Step 6: Final answer
    x = 2,211,510.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.