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Finding the Third Proportional to 2,132,015 and 4,662,609

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Solution

The third proportional to 2,132,015 and 4,662,609 is: 10,196,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132,015 : 4,662,609 = 4,662,609 : x
  2. Step 2: Convert to fraction form
    2,132,015/4,662,609 = 4,662,609/x
  3. Step 3: Cross multiply
    2,132,015x = 4,662,609 × 4,662,609
  4. Step 4: Simplify right side
    2,132,015x = 21,739,922,686,881
  5. Step 5: Solve for x
    x = 21,739,922,686,881/2,132,015
  6. Step 6: Final answer
    x = 10,196,890.12

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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.