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Finding the Third Proportional to 622,434 and 880,803

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Solution

The third proportional to 622,434 and 880,803 is: 1,246,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,434 : 880,803 = 880,803 : x
  2. Step 2: Convert to fraction form
    622,434/880,803 = 880,803/x
  3. Step 3: Cross multiply
    622,434x = 880,803 × 880,803
  4. Step 4: Simplify right side
    622,434x = 775,813,924,809
  5. Step 5: Solve for x
    x = 775,813,924,809/622,434
  6. Step 6: Final answer
    x = 1,246,419.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.