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Finding the Third Proportional to 444,624 and 975,668

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Solution

The third proportional to 444,624 and 975,668 is: 2,140,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,624 : 975,668 = 975,668 : x
  2. Step 2: Convert to fraction form
    444,624/975,668 = 975,668/x
  3. Step 3: Cross multiply
    444,624x = 975,668 × 975,668
  4. Step 4: Simplify right side
    444,624x = 951,928,046,224
  5. Step 5: Solve for x
    x = 951,928,046,224/444,624
  6. Step 6: Final answer
    x = 2,140,973.15

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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.