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Finding the Third Proportional to 916,718 and 2,016,170

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Solution

The third proportional to 916,718 and 2,016,170 is: 4,434,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,718 : 2,016,170 = 2,016,170 : x
  2. Step 2: Convert to fraction form
    916,718/2,016,170 = 2,016,170/x
  3. Step 3: Cross multiply
    916,718x = 2,016,170 × 2,016,170
  4. Step 4: Simplify right side
    916,718x = 4,064,941,468,900
  5. Step 5: Solve for x
    x = 4,064,941,468,900/916,718
  6. Step 6: Final answer
    x = 4,434,233.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.