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Finding the Third Proportional to 440,848 and 960,320

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Solution

The third proportional to 440,848 and 960,320 is: 2,091,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,848 : 960,320 = 960,320 : x
  2. Step 2: Convert to fraction form
    440,848/960,320 = 960,320/x
  3. Step 3: Cross multiply
    440,848x = 960,320 × 960,320
  4. Step 4: Simplify right side
    440,848x = 922,214,502,400
  5. Step 5: Solve for x
    x = 922,214,502,400/440,848
  6. Step 6: Final answer
    x = 2,091,910.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.