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Finding the Third Proportional to 444,650 and 975,720

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Solution

The third proportional to 444,650 and 975,720 is: 2,141,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,650 : 975,720 = 975,720 : x
  2. Step 2: Convert to fraction form
    444,650/975,720 = 975,720/x
  3. Step 3: Cross multiply
    444,650x = 975,720 × 975,720
  4. Step 4: Simplify right side
    444,650x = 952,029,518,400
  5. Step 5: Solve for x
    x = 952,029,518,400/444,650
  6. Step 6: Final answer
    x = 2,141,076.17

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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.