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Finding the Third Proportional to 430,110 and 945,864

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Solution

The third proportional to 430,110 and 945,864 is: 2,080,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,110 : 945,864 = 945,864 : x
  2. Step 2: Convert to fraction form
    430,110/945,864 = 945,864/x
  3. Step 3: Cross multiply
    430,110x = 945,864 × 945,864
  4. Step 4: Simplify right side
    430,110x = 894,658,706,496
  5. Step 5: Solve for x
    x = 894,658,706,496/430,110
  6. Step 6: Final answer
    x = 2,080,069.53

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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.