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Finding the Third Proportional to 610,420 and 929,832

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Solution

The third proportional to 610,420 and 929,832 is: 1,416,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,420 : 929,832 = 929,832 : x
  2. Step 2: Convert to fraction form
    610,420/929,832 = 929,832/x
  3. Step 3: Cross multiply
    610,420x = 929,832 × 929,832
  4. Step 4: Simplify right side
    610,420x = 864,587,548,224
  5. Step 5: Solve for x
    x = 864,587,548,224/610,420
  6. Step 6: Final answer
    x = 1,416,381.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.