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Finding the Third Proportional to 868,214.25 and 1,861,020

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Solution

The third proportional to 868,214.25 and 1,861,020 is: 3,989,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,214.25 : 1,861,020 = 1,861,020 : x
  2. Step 2: Convert to fraction form
    868,214.25/1,861,020 = 1,861,020/x
  3. Step 3: Cross multiply
    868,214.25x = 1,861,020 × 1,861,020
  4. Step 4: Simplify right side
    868,214.25x = 3,463,395,440,400
  5. Step 5: Solve for x
    x = 3,463,395,440,400/868,214.25
  6. Step 6: Final answer
    x = 3,989,102.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.