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Finding the Third Proportional to 868,475.25 and 1,913,645.25

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Solution

The third proportional to 868,475.25 and 1,913,645.25 is: 4,216,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,475.25 : 1,913,645.25 = 1,913,645.25 : x
  2. Step 2: Convert to fraction form
    868,475.25/1,913,645.25 = 1,913,645.25/x
  3. Step 3: Cross multiply
    868,475.25x = 1,913,645.25 × 1,913,645.25
  4. Step 4: Simplify right side
    868,475.25x = 3,662,038,142,847.56
  5. Step 5: Solve for x
    x = 3,662,038,142,847.56/868,475.25
  6. Step 6: Final answer
    x = 4,216,629.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.