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Finding the Third Proportional to 657,040 and 1,412,234

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Solution

The third proportional to 657,040 and 1,412,234 is: 3,035,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,040 : 1,412,234 = 1,412,234 : x
  2. Step 2: Convert to fraction form
    657,040/1,412,234 = 1,412,234/x
  3. Step 3: Cross multiply
    657,040x = 1,412,234 × 1,412,234
  4. Step 4: Simplify right side
    657,040x = 1,994,404,870,756
  5. Step 5: Solve for x
    x = 1,994,404,870,756/657,040
  6. Step 6: Final answer
    x = 3,035,439.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.