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Finding the Third Proportional to 1,781,206 and 3,882,107.50

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Solution

The third proportional to 1,781,206 and 3,882,107.50 is: 8,460,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,206 : 3,882,107.50 = 3,882,107.50 : x
  2. Step 2: Convert to fraction form
    1,781,206/3,882,107.50 = 3,882,107.50/x
  3. Step 3: Cross multiply
    1,781,206x = 3,882,107.50 × 3,882,107.50
  4. Step 4: Simplify right side
    1,781,206x = 15,070,758,641,556.25
  5. Step 5: Solve for x
    x = 15,070,758,641,556.25/1,781,206
  6. Step 6: Final answer
    x = 8,460,985.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.