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Finding the Third Proportional to 829,005 and 1,216,311

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Solution

The third proportional to 829,005 and 1,216,311 is: 1,784,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,005 : 1,216,311 = 1,216,311 : x
  2. Step 2: Convert to fraction form
    829,005/1,216,311 = 1,216,311/x
  3. Step 3: Cross multiply
    829,005x = 1,216,311 × 1,216,311
  4. Step 4: Simplify right side
    829,005x = 1,479,412,448,721
  5. Step 5: Solve for x
    x = 1,479,412,448,721/829,005
  6. Step 6: Final answer
    x = 1,784,563.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.