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Finding the Third Proportional to 614,208 and 1,329,024

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Solution

The third proportional to 614,208 and 1,329,024 is: 2,875,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,208 : 1,329,024 = 1,329,024 : x
  2. Step 2: Convert to fraction form
    614,208/1,329,024 = 1,329,024/x
  3. Step 3: Cross multiply
    614,208x = 1,329,024 × 1,329,024
  4. Step 4: Simplify right side
    614,208x = 1,766,304,792,576
  5. Step 5: Solve for x
    x = 1,766,304,792,576/614,208
  6. Step 6: Final answer
    x = 2,875,743.71

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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.