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Finding the Third Proportional to 434,032 and 950,814

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Solution

The third proportional to 434,032 and 950,814 is: 2,082,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,032 : 950,814 = 950,814 : x
  2. Step 2: Convert to fraction form
    434,032/950,814 = 950,814/x
  3. Step 3: Cross multiply
    434,032x = 950,814 × 950,814
  4. Step 4: Simplify right side
    434,032x = 904,047,262,596
  5. Step 5: Solve for x
    x = 904,047,262,596/434,032
  6. Step 6: Final answer
    x = 2,082,904.63

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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.