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Finding the Third Proportional to 2,010,004 and 4,352,107

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Solution

The third proportional to 2,010,004 and 4,352,107 is: 9,423,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,004 : 4,352,107 = 4,352,107 : x
  2. Step 2: Convert to fraction form
    2,010,004/4,352,107 = 4,352,107/x
  3. Step 3: Cross multiply
    2,010,004x = 4,352,107 × 4,352,107
  4. Step 4: Simplify right side
    2,010,004x = 18,940,835,339,449
  5. Step 5: Solve for x
    x = 18,940,835,339,449/2,010,004
  6. Step 6: Final answer
    x = 9,423,282.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.