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Finding the Third Proportional to 602,928 and 1,255,471

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Solution

The third proportional to 602,928 and 1,255,471 is: 2,614,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,928 : 1,255,471 = 1,255,471 : x
  2. Step 2: Convert to fraction form
    602,928/1,255,471 = 1,255,471/x
  3. Step 3: Cross multiply
    602,928x = 1,255,471 × 1,255,471
  4. Step 4: Simplify right side
    602,928x = 1,576,207,431,841
  5. Step 5: Solve for x
    x = 1,576,207,431,841/602,928
  6. Step 6: Final answer
    x = 2,614,254.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.