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Finding the Third Proportional to 2,333,286 and 3,138,345

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Solution

The third proportional to 2,333,286 and 3,138,345 is: 4,221,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333,286 : 3,138,345 = 3,138,345 : x
  2. Step 2: Convert to fraction form
    2,333,286/3,138,345 = 3,138,345/x
  3. Step 3: Cross multiply
    2,333,286x = 3,138,345 × 3,138,345
  4. Step 4: Simplify right side
    2,333,286x = 9,849,209,339,025
  5. Step 5: Solve for x
    x = 9,849,209,339,025/2,333,286
  6. Step 6: Final answer
    x = 4,221,175.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.