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Finding the Third Proportional to 713,988 and 951,878

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Solution

The third proportional to 713,988 and 951,878 is: 1,269,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,988 : 951,878 = 951,878 : x
  2. Step 2: Convert to fraction form
    713,988/951,878 = 951,878/x
  3. Step 3: Cross multiply
    713,988x = 951,878 × 951,878
  4. Step 4: Simplify right side
    713,988x = 906,071,726,884
  5. Step 5: Solve for x
    x = 906,071,726,884/713,988
  6. Step 6: Final answer
    x = 1,269,029.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.