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Finding the Third Proportional to 602,538 and 1,285,140

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Solution

The third proportional to 602,538 and 1,285,140 is: 2,741,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,538 : 1,285,140 = 1,285,140 : x
  2. Step 2: Convert to fraction form
    602,538/1,285,140 = 1,285,140/x
  3. Step 3: Cross multiply
    602,538x = 1,285,140 × 1,285,140
  4. Step 4: Simplify right side
    602,538x = 1,651,584,819,600
  5. Step 5: Solve for x
    x = 1,651,584,819,600/602,538
  6. Step 6: Final answer
    x = 2,741,046.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.