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Finding the Third Proportional to 838,240 and 1,715,214

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Solution

The third proportional to 838,240 and 1,715,214 is: 3,509,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,240 : 1,715,214 = 1,715,214 : x
  2. Step 2: Convert to fraction form
    838,240/1,715,214 = 1,715,214/x
  3. Step 3: Cross multiply
    838,240x = 1,715,214 × 1,715,214
  4. Step 4: Simplify right side
    838,240x = 2,941,959,065,796
  5. Step 5: Solve for x
    x = 2,941,959,065,796/838,240
  6. Step 6: Final answer
    x = 3,509,685.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.