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Finding the Third Proportional to 1,834,180 and 4,022,289

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Solution

The third proportional to 1,834,180 and 4,022,289 is: 8,820,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,180 : 4,022,289 = 4,022,289 : x
  2. Step 2: Convert to fraction form
    1,834,180/4,022,289 = 4,022,289/x
  3. Step 3: Cross multiply
    1,834,180x = 4,022,289 × 4,022,289
  4. Step 4: Simplify right side
    1,834,180x = 16,178,808,799,521
  5. Step 5: Solve for x
    x = 16,178,808,799,521/1,834,180
  6. Step 6: Final answer
    x = 8,820,731.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.