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Finding the Third Proportional to 433,874 and 934,423

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Solution

The third proportional to 433,874 and 934,423 is: 2,012,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,874 : 934,423 = 934,423 : x
  2. Step 2: Convert to fraction form
    433,874/934,423 = 934,423/x
  3. Step 3: Cross multiply
    433,874x = 934,423 × 934,423
  4. Step 4: Simplify right side
    433,874x = 873,146,342,929
  5. Step 5: Solve for x
    x = 873,146,342,929/433,874
  6. Step 6: Final answer
    x = 2,012,442.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.