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Finding the Third Proportional to 652,988 and 1,365,016

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Solution

The third proportional to 652,988 and 1,365,016 is: 2,853,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,988 : 1,365,016 = 1,365,016 : x
  2. Step 2: Convert to fraction form
    652,988/1,365,016 = 1,365,016/x
  3. Step 3: Cross multiply
    652,988x = 1,365,016 × 1,365,016
  4. Step 4: Simplify right side
    652,988x = 1,863,268,680,256
  5. Step 5: Solve for x
    x = 1,863,268,680,256/652,988
  6. Step 6: Final answer
    x = 2,853,450.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.