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Finding the Third Proportional to 966,848 and 2,127,016

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Solution

The third proportional to 966,848 and 2,127,016 is: 4,679,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,848 : 2,127,016 = 2,127,016 : x
  2. Step 2: Convert to fraction form
    966,848/2,127,016 = 2,127,016/x
  3. Step 3: Cross multiply
    966,848x = 2,127,016 × 2,127,016
  4. Step 4: Simplify right side
    966,848x = 4,524,197,064,256
  5. Step 5: Solve for x
    x = 4,524,197,064,256/966,848
  6. Step 6: Final answer
    x = 4,679,326.08

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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.