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Finding the Third Proportional to 540,486 and 836,952

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Solution

The third proportional to 540,486 and 836,952 is: 1,296,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,486 : 836,952 = 836,952 : x
  2. Step 2: Convert to fraction form
    540,486/836,952 = 836,952/x
  3. Step 3: Cross multiply
    540,486x = 836,952 × 836,952
  4. Step 4: Simplify right side
    540,486x = 700,488,650,304
  5. Step 5: Solve for x
    x = 700,488,650,304/540,486
  6. Step 6: Final answer
    x = 1,296,034.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.