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Finding the Third Proportional to 1,896,147 and 4,147,029

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Solution

The third proportional to 1,896,147 and 4,147,029 is: 9,069,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896,147 : 4,147,029 = 4,147,029 : x
  2. Step 2: Convert to fraction form
    1,896,147/4,147,029 = 4,147,029/x
  3. Step 3: Cross multiply
    1,896,147x = 4,147,029 × 4,147,029
  4. Step 4: Simplify right side
    1,896,147x = 17,197,849,526,841
  5. Step 5: Solve for x
    x = 17,197,849,526,841/1,896,147
  6. Step 6: Final answer
    x = 9,069,892.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.