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Finding the Third Proportional to 863,478 and 1,832,184

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Solution

The third proportional to 863,478 and 1,832,184 is: 3,887,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,478 : 1,832,184 = 1,832,184 : x
  2. Step 2: Convert to fraction form
    863,478/1,832,184 = 1,832,184/x
  3. Step 3: Cross multiply
    863,478x = 1,832,184 × 1,832,184
  4. Step 4: Simplify right side
    863,478x = 3,356,898,209,856
  5. Step 5: Solve for x
    x = 3,356,898,209,856/863,478
  6. Step 6: Final answer
    x = 3,887,647.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.