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Finding the Third Proportional to 2,138,082 and 4,610,367

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Solution

The third proportional to 2,138,082 and 4,610,367 is: 9,941,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,082 : 4,610,367 = 4,610,367 : x
  2. Step 2: Convert to fraction form
    2,138,082/4,610,367 = 4,610,367/x
  3. Step 3: Cross multiply
    2,138,082x = 4,610,367 × 4,610,367
  4. Step 4: Simplify right side
    2,138,082x = 21,255,483,874,689
  5. Step 5: Solve for x
    x = 21,255,483,874,689/2,138,082
  6. Step 6: Final answer
    x = 9,941,379.18

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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.