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Finding the Third Proportional to 434,019 and 950,787

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Solution

The third proportional to 434,019 and 950,787 is: 2,082,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,019 : 950,787 = 950,787 : x
  2. Step 2: Convert to fraction form
    434,019/950,787 = 950,787/x
  3. Step 3: Cross multiply
    434,019x = 950,787 × 950,787
  4. Step 4: Simplify right side
    434,019x = 903,995,919,369
  5. Step 5: Solve for x
    x = 903,995,919,369/434,019
  6. Step 6: Final answer
    x = 2,082,848.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.