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Finding the Third Proportional to 566,052 and 836,118

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Solution

The third proportional to 566,052 and 836,118 is: 1,235,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,052 : 836,118 = 836,118 : x
  2. Step 2: Convert to fraction form
    566,052/836,118 = 836,118/x
  3. Step 3: Cross multiply
    566,052x = 836,118 × 836,118
  4. Step 4: Simplify right side
    566,052x = 699,093,309,924
  5. Step 5: Solve for x
    x = 699,093,309,924/566,052
  6. Step 6: Final answer
    x = 1,235,033.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.