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Finding the Third Proportional to 778,857.75 and 1,682,275.50

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Solution

The third proportional to 778,857.75 and 1,682,275.50 is: 3,633,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,857.75 : 1,682,275.50 = 1,682,275.50 : x
  2. Step 2: Convert to fraction form
    778,857.75/1,682,275.50 = 1,682,275.50/x
  3. Step 3: Cross multiply
    778,857.75x = 1,682,275.50 × 1,682,275.50
  4. Step 4: Simplify right side
    778,857.75x = 2,830,050,857,900.25
  5. Step 5: Solve for x
    x = 2,830,050,857,900.25/778,857.75
  6. Step 6: Final answer
    x = 3,633,591.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.