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Finding the Third Proportional to 932,719.50 and 1,993,419

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Solution

The third proportional to 932,719.50 and 1,993,419 is: 4,260,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,719.50 : 1,993,419 = 1,993,419 : x
  2. Step 2: Convert to fraction form
    932,719.50/1,993,419 = 1,993,419/x
  3. Step 3: Cross multiply
    932,719.50x = 1,993,419 × 1,993,419
  4. Step 4: Simplify right side
    932,719.50x = 3,973,719,309,561
  5. Step 5: Solve for x
    x = 3,973,719,309,561/932,719.50
  6. Step 6: Final answer
    x = 4,260,358.35

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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.