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Finding the Third Proportional to 564,764 and 1,240,120

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Solution

The third proportional to 564,764 and 1,240,120 is: 2,723,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,764 : 1,240,120 = 1,240,120 : x
  2. Step 2: Convert to fraction form
    564,764/1,240,120 = 1,240,120/x
  3. Step 3: Cross multiply
    564,764x = 1,240,120 × 1,240,120
  4. Step 4: Simplify right side
    564,764x = 1,537,897,614,400
  5. Step 5: Solve for x
    x = 1,537,897,614,400/564,764
  6. Step 6: Final answer
    x = 2,723,080.11

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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.