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Finding the Third Proportional to 439,801 and 960,574

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Solution

The third proportional to 439,801 and 960,574 is: 2,097,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,801 : 960,574 = 960,574 : x
  2. Step 2: Convert to fraction form
    439,801/960,574 = 960,574/x
  3. Step 3: Cross multiply
    439,801x = 960,574 × 960,574
  4. Step 4: Simplify right side
    439,801x = 922,702,409,476
  5. Step 5: Solve for x
    x = 922,702,409,476/439,801
  6. Step 6: Final answer
    x = 2,097,999.80

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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.