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Finding the Third Proportional to 597,602 and 1,285,828

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Solution

The third proportional to 597,602 and 1,285,828 is: 2,766,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,602 : 1,285,828 = 1,285,828 : x
  2. Step 2: Convert to fraction form
    597,602/1,285,828 = 1,285,828/x
  3. Step 3: Cross multiply
    597,602x = 1,285,828 × 1,285,828
  4. Step 4: Simplify right side
    597,602x = 1,653,353,645,584
  5. Step 5: Solve for x
    x = 1,653,353,645,584/597,602
  6. Step 6: Final answer
    x = 2,766,646.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.