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Finding the Third Proportional to 439,795 and 963,666

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Solution

The third proportional to 439,795 and 963,666 is: 2,111,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,795 : 963,666 = 963,666 : x
  2. Step 2: Convert to fraction form
    439,795/963,666 = 963,666/x
  3. Step 3: Cross multiply
    439,795x = 963,666 × 963,666
  4. Step 4: Simplify right side
    439,795x = 928,652,159,556
  5. Step 5: Solve for x
    x = 928,652,159,556/439,795
  6. Step 6: Final answer
    x = 2,111,556.88

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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.