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Finding the Third Proportional to 448,596 and 959,400

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Solution

The third proportional to 448,596 and 959,400 is: 2,051,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,596 : 959,400 = 959,400 : x
  2. Step 2: Convert to fraction form
    448,596/959,400 = 959,400/x
  3. Step 3: Cross multiply
    448,596x = 959,400 × 959,400
  4. Step 4: Simplify right side
    448,596x = 920,448,360,000
  5. Step 5: Solve for x
    x = 920,448,360,000/448,596
  6. Step 6: Final answer
    x = 2,051,842.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.