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Finding the Third Proportional to 2,147,463 and 4,631,184

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Solution

The third proportional to 2,147,463 and 4,631,184 is: 9,987,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,463 : 4,631,184 = 4,631,184 : x
  2. Step 2: Convert to fraction form
    2,147,463/4,631,184 = 4,631,184/x
  3. Step 3: Cross multiply
    2,147,463x = 4,631,184 × 4,631,184
  4. Step 4: Simplify right side
    2,147,463x = 21,447,865,241,856
  5. Step 5: Solve for x
    x = 21,447,865,241,856/2,147,463
  6. Step 6: Final answer
    x = 9,987,536.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.