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Finding the Third Proportional to 619,872 and 1,357,680

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Solution

The third proportional to 619,872 and 1,357,680 is: 2,973,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,872 : 1,357,680 = 1,357,680 : x
  2. Step 2: Convert to fraction form
    619,872/1,357,680 = 1,357,680/x
  3. Step 3: Cross multiply
    619,872x = 1,357,680 × 1,357,680
  4. Step 4: Simplify right side
    619,872x = 1,843,294,982,400
  5. Step 5: Solve for x
    x = 1,843,294,982,400/619,872
  6. Step 6: Final answer
    x = 2,973,670.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.