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Finding the Third Proportional to 440,848 and 900,376

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Solution

The third proportional to 440,848 and 900,376 is: 1,838,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,848 : 900,376 = 900,376 : x
  2. Step 2: Convert to fraction form
    440,848/900,376 = 900,376/x
  3. Step 3: Cross multiply
    440,848x = 900,376 × 900,376
  4. Step 4: Simplify right side
    440,848x = 810,676,941,376
  5. Step 5: Solve for x
    x = 810,676,941,376/440,848
  6. Step 6: Final answer
    x = 1,838,903.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.