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Finding the Third Proportional to 444,036.94 and 934,493.06

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Solution

The third proportional to 444,036.94 and 934,493.06 is: 1,966,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,036.94 : 934,493.06 = 934,493.06 : x
  2. Step 2: Convert to fraction form
    444,036.94/934,493.06 = 934,493.06/x
  3. Step 3: Cross multiply
    444,036.94x = 934,493.06 × 934,493.06
  4. Step 4: Simplify right side
    444,036.94x = 873,277,283,860.63
  5. Step 5: Solve for x
    x = 873,277,283,860.63/444,036.94
  6. Step 6: Final answer
    x = 1,966,677.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.