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Finding the Third Proportional to 444,117.94 and 976,789.13

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Solution

The third proportional to 444,117.94 and 976,789.13 is: 2,148,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,117.94 : 976,789.13 = 976,789.13 : x
  2. Step 2: Convert to fraction form
    444,117.94/976,789.13 = 976,789.13/x
  3. Step 3: Cross multiply
    444,117.94x = 976,789.13 × 976,789.13
  4. Step 4: Simplify right side
    444,117.94x = 954,116,994,718.27
  5. Step 5: Solve for x
    x = 954,116,994,718.27/444,117.94
  6. Step 6: Final answer
    x = 2,148,341.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.