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Finding the Third Proportional to 602,736 and 910,218

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Solution

The third proportional to 602,736 and 910,218 is: 1,374,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,736 : 910,218 = 910,218 : x
  2. Step 2: Convert to fraction form
    602,736/910,218 = 910,218/x
  3. Step 3: Cross multiply
    602,736x = 910,218 × 910,218
  4. Step 4: Simplify right side
    602,736x = 828,496,807,524
  5. Step 5: Solve for x
    x = 828,496,807,524/602,736
  6. Step 6: Final answer
    x = 1,374,560.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.