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Finding the Third Proportional to 564,504 and 1,217,640

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Solution

The third proportional to 564,504 and 1,217,640 is: 2,626,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,504 : 1,217,640 = 1,217,640 : x
  2. Step 2: Convert to fraction form
    564,504/1,217,640 = 1,217,640/x
  3. Step 3: Cross multiply
    564,504x = 1,217,640 × 1,217,640
  4. Step 4: Simplify right side
    564,504x = 1,482,647,169,600
  5. Step 5: Solve for x
    x = 1,482,647,169,600/564,504
  6. Step 6: Final answer
    x = 2,626,459.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.