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Finding the Third Proportional to 437,048 and 944,080

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Solution

The third proportional to 437,048 and 944,080 is: 2,039,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,048 : 944,080 = 944,080 : x
  2. Step 2: Convert to fraction form
    437,048/944,080 = 944,080/x
  3. Step 3: Cross multiply
    437,048x = 944,080 × 944,080
  4. Step 4: Simplify right side
    437,048x = 891,287,046,400
  5. Step 5: Solve for x
    x = 891,287,046,400/437,048
  6. Step 6: Final answer
    x = 2,039,334.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.