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Finding the Third Proportional to 2,102,166 and 4,596,921

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Solution

The third proportional to 2,102,166 and 4,596,921 is: 10,052,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,166 : 4,596,921 = 4,596,921 : x
  2. Step 2: Convert to fraction form
    2,102,166/4,596,921 = 4,596,921/x
  3. Step 3: Cross multiply
    2,102,166x = 4,596,921 × 4,596,921
  4. Step 4: Simplify right side
    2,102,166x = 21,131,682,680,241
  5. Step 5: Solve for x
    x = 21,131,682,680,241/2,102,166
  6. Step 6: Final answer
    x = 10,052,337.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.