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Finding the Third Proportional to 998,701.13 and 2,157,016.13

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Solution

The third proportional to 998,701.13 and 2,157,016.13 is: 4,658,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,701.13 : 2,157,016.13 = 2,157,016.13 : x
  2. Step 2: Convert to fraction form
    998,701.13/2,157,016.13 = 2,157,016.13/x
  3. Step 3: Cross multiply
    998,701.13x = 2,157,016.13 × 2,157,016.13
  4. Step 4: Simplify right side
    998,701.13x = 4,652,718,563,510.02
  5. Step 5: Solve for x
    x = 4,652,718,563,510.02/998,701.13
  6. Step 6: Final answer
    x = 4,658,769.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.