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Finding the Third Proportional to 829,127 and 1,785,100

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Solution

The third proportional to 829,127 and 1,785,100 is: 3,843,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,127 : 1,785,100 = 1,785,100 : x
  2. Step 2: Convert to fraction form
    829,127/1,785,100 = 1,785,100/x
  3. Step 3: Cross multiply
    829,127x = 1,785,100 × 1,785,100
  4. Step 4: Simplify right side
    829,127x = 3,186,582,010,000
  5. Step 5: Solve for x
    x = 3,186,582,010,000/829,127
  6. Step 6: Final answer
    x = 3,843,297.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.