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Finding the Third Proportional to 2,406,886 and 5,286,190

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Solution

The third proportional to 2,406,886 and 5,286,190 is: 11,609,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,886 : 5,286,190 = 5,286,190 : x
  2. Step 2: Convert to fraction form
    2,406,886/5,286,190 = 5,286,190/x
  3. Step 3: Cross multiply
    2,406,886x = 5,286,190 × 5,286,190
  4. Step 4: Simplify right side
    2,406,886x = 27,943,804,716,100
  5. Step 5: Solve for x
    x = 27,943,804,716,100/2,406,886
  6. Step 6: Final answer
    x = 11,609,941.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.