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Finding the Third Proportional to 499,561 and 1,051,338

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Solution

The third proportional to 499,561 and 1,051,338 is: 2,212,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,561 : 1,051,338 = 1,051,338 : x
  2. Step 2: Convert to fraction form
    499,561/1,051,338 = 1,051,338/x
  3. Step 3: Cross multiply
    499,561x = 1,051,338 × 1,051,338
  4. Step 4: Simplify right side
    499,561x = 1,105,311,590,244
  5. Step 5: Solve for x
    x = 1,105,311,590,244/499,561
  6. Step 6: Final answer
    x = 2,212,565.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.