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Finding the Third Proportional to 1,222,410 and 2,890,329

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Solution

The third proportional to 1,222,410 and 2,890,329 is: 6,834,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,410 : 2,890,329 = 2,890,329 : x
  2. Step 2: Convert to fraction form
    1,222,410/2,890,329 = 2,890,329/x
  3. Step 3: Cross multiply
    1,222,410x = 2,890,329 × 2,890,329
  4. Step 4: Simplify right side
    1,222,410x = 8,354,001,728,241
  5. Step 5: Solve for x
    x = 8,354,001,728,241/1,222,410
  6. Step 6: Final answer
    x = 6,834,042.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.