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Finding the Third Proportional to 564,798 and 1,243,320

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Solution

The third proportional to 564,798 and 1,243,320 is: 2,736,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,798 : 1,243,320 = 1,243,320 : x
  2. Step 2: Convert to fraction form
    564,798/1,243,320 = 1,243,320/x
  3. Step 3: Cross multiply
    564,798x = 1,243,320 × 1,243,320
  4. Step 4: Simplify right side
    564,798x = 1,545,844,622,400
  5. Step 5: Solve for x
    x = 1,545,844,622,400/564,798
  6. Step 6: Final answer
    x = 2,736,986.71

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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.