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Finding the Third Proportional to 407,523.10 and 885,109.23

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Solution

The third proportional to 407,523.10 and 885,109.23 is: 1,922,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,523.10 : 885,109.23 = 885,109.23 : x
  2. Step 2: Convert to fraction form
    407,523.10/885,109.23 = 885,109.23/x
  3. Step 3: Cross multiply
    407,523.10x = 885,109.23 × 885,109.23
  4. Step 4: Simplify right side
    407,523.10x = 783,418,344,674.86
  5. Step 5: Solve for x
    x = 783,418,344,674.86/407,523.10
  6. Step 6: Final answer
    x = 1,922,390.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.