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Finding the Third Proportional to 440,667 and 963,468

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Solution

The third proportional to 440,667 and 963,468 is: 2,106,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,667 : 963,468 = 963,468 : x
  2. Step 2: Convert to fraction form
    440,667/963,468 = 963,468/x
  3. Step 3: Cross multiply
    440,667x = 963,468 × 963,468
  4. Step 4: Simplify right side
    440,667x = 928,270,587,024
  5. Step 5: Solve for x
    x = 928,270,587,024/440,667
  6. Step 6: Final answer
    x = 2,106,512.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.