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Finding the Third Proportional to 1,386,218.25 and 2,793,021.75

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Solution

The third proportional to 1,386,218.25 and 2,793,021.75 is: 5,627,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386,218.25 : 2,793,021.75 = 2,793,021.75 : x
  2. Step 2: Convert to fraction form
    1,386,218.25/2,793,021.75 = 2,793,021.75/x
  3. Step 3: Cross multiply
    1,386,218.25x = 2,793,021.75 × 2,793,021.75
  4. Step 4: Simplify right side
    1,386,218.25x = 7,800,970,495,973.06
  5. Step 5: Solve for x
    x = 7,800,970,495,973.06/1,386,218.25
  6. Step 6: Final answer
    x = 5,627,519.69

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.