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Finding the Third Proportional to 434,025 and 950,802

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Solution

The third proportional to 434,025 and 950,802 is: 2,082,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,025 : 950,802 = 950,802 : x
  2. Step 2: Convert to fraction form
    434,025/950,802 = 950,802/x
  3. Step 3: Cross multiply
    434,025x = 950,802 × 950,802
  4. Step 4: Simplify right side
    434,025x = 904,024,443,204
  5. Step 5: Solve for x
    x = 904,024,443,204/434,025
  6. Step 6: Final answer
    x = 2,082,885.65

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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.