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Finding the Third Proportional to 440,975.25 and 934,939.13

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Solution

The third proportional to 440,975.25 and 934,939.13 is: 1,982,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,975.25 : 934,939.13 = 934,939.13 : x
  2. Step 2: Convert to fraction form
    440,975.25/934,939.13 = 934,939.13/x
  3. Step 3: Cross multiply
    440,975.25x = 934,939.13 × 934,939.13
  4. Step 4: Simplify right side
    440,975.25x = 874,111,167,455.77
  5. Step 5: Solve for x
    x = 874,111,167,455.77/440,975.25
  6. Step 6: Final answer
    x = 1,982,222.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.