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Finding the Third Proportional to 540,031 and 1,166,687

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Solution

The third proportional to 540,031 and 1,166,687 is: 2,520,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,031 : 1,166,687 = 1,166,687 : x
  2. Step 2: Convert to fraction form
    540,031/1,166,687 = 1,166,687/x
  3. Step 3: Cross multiply
    540,031x = 1,166,687 × 1,166,687
  4. Step 4: Simplify right side
    540,031x = 1,361,158,555,969
  5. Step 5: Solve for x
    x = 1,361,158,555,969/540,031
  6. Step 6: Final answer
    x = 2,520,519.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.