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Finding the Third Proportional to 1,865,194.50 and 4,024,419

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Solution

The third proportional to 1,865,194.50 and 4,024,419 is: 8,683,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,194.50 : 4,024,419 = 4,024,419 : x
  2. Step 2: Convert to fraction form
    1,865,194.50/4,024,419 = 4,024,419/x
  3. Step 3: Cross multiply
    1,865,194.50x = 4,024,419 × 4,024,419
  4. Step 4: Simplify right side
    1,865,194.50x = 16,195,948,287,561
  5. Step 5: Solve for x
    x = 16,195,948,287,561/1,865,194.50
  6. Step 6: Final answer
    x = 8,683,249.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.