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Finding the Third Proportional to 564,754 and 1,240,100

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Solution

The third proportional to 564,754 and 1,240,100 is: 2,723,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,754 : 1,240,100 = 1,240,100 : x
  2. Step 2: Convert to fraction form
    564,754/1,240,100 = 1,240,100/x
  3. Step 3: Cross multiply
    564,754x = 1,240,100 × 1,240,100
  4. Step 4: Simplify right side
    564,754x = 1,537,848,010,000
  5. Step 5: Solve for x
    x = 1,537,848,010,000/564,754
  6. Step 6: Final answer
    x = 2,723,040.49

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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.