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Finding the Third Proportional to 444,945.75 and 921,434.63

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Solution

The third proportional to 444,945.75 and 921,434.63 is: 1,908,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,945.75 : 921,434.63 = 921,434.63 : x
  2. Step 2: Convert to fraction form
    444,945.75/921,434.63 = 921,434.63/x
  3. Step 3: Cross multiply
    444,945.75x = 921,434.63 × 921,434.63
  4. Step 4: Simplify right side
    444,945.75x = 849,041,768,148.89
  5. Step 5: Solve for x
    x = 849,041,768,148.89/444,945.75
  6. Step 6: Final answer
    x = 1,908,191.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.