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Finding the Third Proportional to 793,518 and 1,206,886.50

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Solution

The third proportional to 793,518 and 1,206,886.50 is: 1,835,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,518 : 1,206,886.50 = 1,206,886.50 : x
  2. Step 2: Convert to fraction form
    793,518/1,206,886.50 = 1,206,886.50/x
  3. Step 3: Cross multiply
    793,518x = 1,206,886.50 × 1,206,886.50
  4. Step 4: Simplify right side
    793,518x = 1,456,575,023,882.25
  5. Step 5: Solve for x
    x = 1,456,575,023,882.25/793,518
  6. Step 6: Final answer
    x = 1,835,591.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.