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Finding the Third Proportional to 439,743 and 963,651

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Solution

The third proportional to 439,743 and 963,651 is: 2,111,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,743 : 963,651 = 963,651 : x
  2. Step 2: Convert to fraction form
    439,743/963,651 = 963,651/x
  3. Step 3: Cross multiply
    439,743x = 963,651 × 963,651
  4. Step 4: Simplify right side
    439,743x = 928,623,249,801
  5. Step 5: Solve for x
    x = 928,623,249,801/439,743
  6. Step 6: Final answer
    x = 2,111,740.83

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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.