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Finding the Third Proportional to 589,214.25 and 900,937.69

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Solution

The third proportional to 589,214.25 and 900,937.69 is: 1,377,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,214.25 : 900,937.69 = 900,937.69 : x
  2. Step 2: Convert to fraction form
    589,214.25/900,937.69 = 900,937.69/x
  3. Step 3: Cross multiply
    589,214.25x = 900,937.69 × 900,937.69
  4. Step 4: Simplify right side
    589,214.25x = 811,688,716,757.85
  5. Step 5: Solve for x
    x = 811,688,716,757.85/589,214.25
  6. Step 6: Final answer
    x = 1,377,578.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.