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Finding the Third Proportional to 663,010 and 1,019,686

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Solution

The third proportional to 663,010 and 1,019,686 is: 1,568,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,010 : 1,019,686 = 1,019,686 : x
  2. Step 2: Convert to fraction form
    663,010/1,019,686 = 1,019,686/x
  3. Step 3: Cross multiply
    663,010x = 1,019,686 × 1,019,686
  4. Step 4: Simplify right side
    663,010x = 1,039,759,538,596
  5. Step 5: Solve for x
    x = 1,039,759,538,596/663,010
  6. Step 6: Final answer
    x = 1,568,241.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.