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Finding the Third Proportional to 440,079 and 964,152.75

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Solution

The third proportional to 440,079 and 964,152.75 is: 2,112,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,079 : 964,152.75 = 964,152.75 : x
  2. Step 2: Convert to fraction form
    440,079/964,152.75 = 964,152.75/x
  3. Step 3: Cross multiply
    440,079x = 964,152.75 × 964,152.75
  4. Step 4: Simplify right side
    440,079x = 929,590,525,332.56
  5. Step 5: Solve for x
    x = 929,590,525,332.56/440,079
  6. Step 6: Final answer
    x = 2,112,326.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.