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Finding the Third Proportional to 875,538 and 1,917,148.50

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Solution

The third proportional to 875,538 and 1,917,148.50 is: 4,197,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,538 : 1,917,148.50 = 1,917,148.50 : x
  2. Step 2: Convert to fraction form
    875,538/1,917,148.50 = 1,917,148.50/x
  3. Step 3: Cross multiply
    875,538x = 1,917,148.50 × 1,917,148.50
  4. Step 4: Simplify right side
    875,538x = 3,675,458,371,052.25
  5. Step 5: Solve for x
    x = 3,675,458,371,052.25/875,538
  6. Step 6: Final answer
    x = 4,197,942.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.