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Finding the Third Proportional to 478,140 and 1,040,396

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Solution

The third proportional to 478,140 and 1,040,396 is: 2,263,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,140 : 1,040,396 = 1,040,396 : x
  2. Step 2: Convert to fraction form
    478,140/1,040,396 = 1,040,396/x
  3. Step 3: Cross multiply
    478,140x = 1,040,396 × 1,040,396
  4. Step 4: Simplify right side
    478,140x = 1,082,423,836,816
  5. Step 5: Solve for x
    x = 1,082,423,836,816/478,140
  6. Step 6: Final answer
    x = 2,263,821.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.