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Finding the Third Proportional to 868,495.50 and 1,913,682.38

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Solution

The third proportional to 868,495.50 and 1,913,682.38 is: 4,216,694.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,495.50 : 1,913,682.38 = 1,913,682.38 : x
  2. Step 2: Convert to fraction form
    868,495.50/1,913,682.38 = 1,913,682.38/x
  3. Step 3: Cross multiply
    868,495.50x = 1,913,682.38 × 1,913,682.38
  4. Step 4: Simplify right side
    868,495.50x = 3,662,180,232,385.64
  5. Step 5: Solve for x
    x = 3,662,180,232,385.64/868,495.50
  6. Step 6: Final answer
    x = 4,216,694.54

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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.