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Finding the Third Proportional to 426,648 and 914,019

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Solution

The third proportional to 426,648 and 914,019 is: 1,958,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,648 : 914,019 = 914,019 : x
  2. Step 2: Convert to fraction form
    426,648/914,019 = 914,019/x
  3. Step 3: Cross multiply
    426,648x = 914,019 × 914,019
  4. Step 4: Simplify right side
    426,648x = 835,430,732,361
  5. Step 5: Solve for x
    x = 835,430,732,361/426,648
  6. Step 6: Final answer
    x = 1,958,126.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.