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Finding the Third Proportional to 602,949 and 1,310,874

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Solution

The third proportional to 602,949 and 1,310,874 is: 2,849,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,949 : 1,310,874 = 1,310,874 : x
  2. Step 2: Convert to fraction form
    602,949/1,310,874 = 1,310,874/x
  3. Step 3: Cross multiply
    602,949x = 1,310,874 × 1,310,874
  4. Step 4: Simplify right side
    602,949x = 1,718,390,643,876
  5. Step 5: Solve for x
    x = 1,718,390,643,876/602,949
  6. Step 6: Final answer
    x = 2,849,976.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.