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Finding the Third Proportional to 444,271 and 959,461

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Solution

The third proportional to 444,271 and 959,461 is: 2,072,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,271 : 959,461 = 959,461 : x
  2. Step 2: Convert to fraction form
    444,271/959,461 = 959,461/x
  3. Step 3: Cross multiply
    444,271x = 959,461 × 959,461
  4. Step 4: Simplify right side
    444,271x = 920,565,410,521
  5. Step 5: Solve for x
    x = 920,565,410,521/444,271
  6. Step 6: Final answer
    x = 2,072,080.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.