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Finding the Third Proportional to 4,302,199 and 6,603,716

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Solution

The third proportional to 4,302,199 and 6,603,716 is: 10,136,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302,199 : 6,603,716 = 6,603,716 : x
  2. Step 2: Convert to fraction form
    4,302,199/6,603,716 = 6,603,716/x
  3. Step 3: Cross multiply
    4,302,199x = 6,603,716 × 6,603,716
  4. Step 4: Simplify right side
    4,302,199x = 43,609,065,008,656
  5. Step 5: Solve for x
    x = 43,609,065,008,656/4,302,199
  6. Step 6: Final answer
    x = 10,136,459.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.