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Finding the Third Proportional to 1,118,544 and 1,677,937.50

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Solution

The third proportional to 1,118,544 and 1,677,937.50 is: 2,517,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118,544 : 1,677,937.50 = 1,677,937.50 : x
  2. Step 2: Convert to fraction form
    1,118,544/1,677,937.50 = 1,677,937.50/x
  3. Step 3: Cross multiply
    1,118,544x = 1,677,937.50 × 1,677,937.50
  4. Step 4: Simplify right side
    1,118,544x = 2,815,474,253,906.25
  5. Step 5: Solve for x
    x = 2,815,474,253,906.25/1,118,544
  6. Step 6: Final answer
    x = 2,517,088.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.