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Finding the Third Proportional to 1,932,082 and 4,196,314

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Solution

The third proportional to 1,932,082 and 4,196,314 is: 9,114,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932,082 : 4,196,314 = 4,196,314 : x
  2. Step 2: Convert to fraction form
    1,932,082/4,196,314 = 4,196,314/x
  3. Step 3: Cross multiply
    1,932,082x = 4,196,314 × 4,196,314
  4. Step 4: Simplify right side
    1,932,082x = 17,609,051,186,596
  5. Step 5: Solve for x
    x = 17,609,051,186,596/1,932,082
  6. Step 6: Final answer
    x = 9,114,028.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.