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Finding the Third Proportional to 863,424 and 1,340,352

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Solution

The third proportional to 863,424 and 1,340,352 is: 2,080,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,424 : 1,340,352 = 1,340,352 : x
  2. Step 2: Convert to fraction form
    863,424/1,340,352 = 1,340,352/x
  3. Step 3: Cross multiply
    863,424x = 1,340,352 × 1,340,352
  4. Step 4: Simplify right side
    863,424x = 1,796,543,483,904
  5. Step 5: Solve for x
    x = 1,796,543,483,904/863,424
  6. Step 6: Final answer
    x = 2,080,719.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.