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Finding the Third Proportional to 411,116.13 and 867,219.54

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Solution

The third proportional to 411,116.13 and 867,219.54 is: 1,829,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,116.13 : 867,219.54 = 867,219.54 : x
  2. Step 2: Convert to fraction form
    411,116.13/867,219.54 = 867,219.54/x
  3. Step 3: Cross multiply
    411,116.13x = 867,219.54 × 867,219.54
  4. Step 4: Simplify right side
    411,116.13x = 752,069,728,931.78
  5. Step 5: Solve for x
    x = 752,069,728,931.78/411,116.13
  6. Step 6: Final answer
    x = 1,829,336.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.