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Finding the Third Proportional to 619,854 and 1,334,232

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Solution

The third proportional to 619,854 and 1,334,232 is: 2,871,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,854 : 1,334,232 = 1,334,232 : x
  2. Step 2: Convert to fraction form
    619,854/1,334,232 = 1,334,232/x
  3. Step 3: Cross multiply
    619,854x = 1,334,232 × 1,334,232
  4. Step 4: Simplify right side
    619,854x = 1,780,175,029,824
  5. Step 5: Solve for x
    x = 1,780,175,029,824/619,854
  6. Step 6: Final answer
    x = 2,871,926.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.