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Finding the Third Proportional to 600,484 and 1,284,872

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Solution

The third proportional to 600,484 and 1,284,872 is: 2,749,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,484 : 1,284,872 = 1,284,872 : x
  2. Step 2: Convert to fraction form
    600,484/1,284,872 = 1,284,872/x
  3. Step 3: Cross multiply
    600,484x = 1,284,872 × 1,284,872
  4. Step 4: Simplify right side
    600,484x = 1,650,896,056,384
  5. Step 5: Solve for x
    x = 1,650,896,056,384/600,484
  6. Step 6: Final answer
    x = 2,749,275.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.