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Finding the Third Proportional to 441,992.81 and 964,948.13

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Solution

The third proportional to 441,992.81 and 964,948.13 is: 2,106,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,992.81 : 964,948.13 = 964,948.13 : x
  2. Step 2: Convert to fraction form
    441,992.81/964,948.13 = 964,948.13/x
  3. Step 3: Cross multiply
    441,992.81x = 964,948.13 × 964,948.13
  4. Step 4: Simplify right side
    441,992.81x = 931,124,883,941.02
  5. Step 5: Solve for x
    x = 931,124,883,941.02/441,992.81
  6. Step 6: Final answer
    x = 2,106,651.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.