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Finding the Third Proportional to 998,730 and 1,544,705.44

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Solution

The third proportional to 998,730 and 1,544,705.44 is: 2,389,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,730 : 1,544,705.44 = 1,544,705.44 : x
  2. Step 2: Convert to fraction form
    998,730/1,544,705.44 = 1,544,705.44/x
  3. Step 3: Cross multiply
    998,730x = 1,544,705.44 × 1,544,705.44
  4. Step 4: Simplify right side
    998,730x = 2,386,114,888,642.07
  5. Step 5: Solve for x
    x = 2,386,114,888,642.07/998,730
  6. Step 6: Final answer
    x = 2,389,149.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.