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Finding the Third Proportional to 434,577 and 941,509

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Solution

The third proportional to 434,577 and 941,509 is: 2,039,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,577 : 941,509 = 941,509 : x
  2. Step 2: Convert to fraction form
    434,577/941,509 = 941,509/x
  3. Step 3: Cross multiply
    434,577x = 941,509 × 941,509
  4. Step 4: Simplify right side
    434,577x = 886,439,197,081
  5. Step 5: Solve for x
    x = 886,439,197,081/434,577
  6. Step 6: Final answer
    x = 2,039,774.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.