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Finding the Third Proportional to 564,762 and 1,240,116

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Solution

The third proportional to 564,762 and 1,240,116 is: 2,723,072.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,762 : 1,240,116 = 1,240,116 : x
  2. Step 2: Convert to fraction form
    564,762/1,240,116 = 1,240,116/x
  3. Step 3: Cross multiply
    564,762x = 1,240,116 × 1,240,116
  4. Step 4: Simplify right side
    564,762x = 1,537,887,693,456
  5. Step 5: Solve for x
    x = 1,537,887,693,456/564,762
  6. Step 6: Final answer
    x = 2,723,072.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.