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Finding the Third Proportional to 836,184 and 1,234,593

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Solution

The third proportional to 836,184 and 1,234,593 is: 1,822,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,184 : 1,234,593 = 1,234,593 : x
  2. Step 2: Convert to fraction form
    836,184/1,234,593 = 1,234,593/x
  3. Step 3: Cross multiply
    836,184x = 1,234,593 × 1,234,593
  4. Step 4: Simplify right side
    836,184x = 1,524,219,875,649
  5. Step 5: Solve for x
    x = 1,524,219,875,649/836,184
  6. Step 6: Final answer
    x = 1,822,828.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.