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Finding the Third Proportional to 5,985,214 and 9,286,588

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Solution

The third proportional to 5,985,214 and 9,286,588 is: 14,408,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985,214 : 9,286,588 = 9,286,588 : x
  2. Step 2: Convert to fraction form
    5,985,214/9,286,588 = 9,286,588/x
  3. Step 3: Cross multiply
    5,985,214x = 9,286,588 × 9,286,588
  4. Step 4: Simplify right side
    5,985,214x = 86,240,716,681,744
  5. Step 5: Solve for x
    x = 86,240,716,681,744/5,985,214
  6. Step 6: Final answer
    x = 14,408,961.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.