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Finding the Third Proportional to 444,534 and 960,148

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Solution

The third proportional to 444,534 and 960,148 is: 2,073,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,534 : 960,148 = 960,148 : x
  2. Step 2: Convert to fraction form
    444,534/960,148 = 960,148/x
  3. Step 3: Cross multiply
    444,534x = 960,148 × 960,148
  4. Step 4: Simplify right side
    444,534x = 921,884,181,904
  5. Step 5: Solve for x
    x = 921,884,181,904/444,534
  6. Step 6: Final answer
    x = 2,073,821.53

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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.