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Finding the Third Proportional to 496,484 and 1,071,686

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Solution

The third proportional to 496,484 and 1,071,686 is: 2,313,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,484 : 1,071,686 = 1,071,686 : x
  2. Step 2: Convert to fraction form
    496,484/1,071,686 = 1,071,686/x
  3. Step 3: Cross multiply
    496,484x = 1,071,686 × 1,071,686
  4. Step 4: Simplify right side
    496,484x = 1,148,510,882,596
  5. Step 5: Solve for x
    x = 1,148,510,882,596/496,484
  6. Step 6: Final answer
    x = 2,313,288.81

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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.