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Finding the Third Proportional to 2,057,103 and 4,429,107

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Solution

The third proportional to 2,057,103 and 4,429,107 is: 9,536,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,103 : 4,429,107 = 4,429,107 : x
  2. Step 2: Convert to fraction form
    2,057,103/4,429,107 = 4,429,107/x
  3. Step 3: Cross multiply
    2,057,103x = 4,429,107 × 4,429,107
  4. Step 4: Simplify right side
    2,057,103x = 19,616,988,817,449
  5. Step 5: Solve for x
    x = 19,616,988,817,449/2,057,103
  6. Step 6: Final answer
    x = 9,536,220.99

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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.