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Finding the Third Proportional to 835,046 and 1,861,336

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Solution

The third proportional to 835,046 and 1,861,336 is: 4,148,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,046 : 1,861,336 = 1,861,336 : x
  2. Step 2: Convert to fraction form
    835,046/1,861,336 = 1,861,336/x
  3. Step 3: Cross multiply
    835,046x = 1,861,336 × 1,861,336
  4. Step 4: Simplify right side
    835,046x = 3,464,571,704,896
  5. Step 5: Solve for x
    x = 3,464,571,704,896/835,046
  6. Step 6: Final answer
    x = 4,148,959.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.