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Finding the Third Proportional to 564,084 and 1,231,056

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Solution

The third proportional to 564,084 and 1,231,056 is: 2,686,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,084 : 1,231,056 = 1,231,056 : x
  2. Step 2: Convert to fraction form
    564,084/1,231,056 = 1,231,056/x
  3. Step 3: Cross multiply
    564,084x = 1,231,056 × 1,231,056
  4. Step 4: Simplify right side
    564,084x = 1,515,498,875,136
  5. Step 5: Solve for x
    x = 1,515,498,875,136/564,084
  6. Step 6: Final answer
    x = 2,686,654.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.