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Finding the Third Proportional to 663,020 and 1,019,698

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Solution

The third proportional to 663,020 and 1,019,698 is: 1,568,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,020 : 1,019,698 = 1,019,698 : x
  2. Step 2: Convert to fraction form
    663,020/1,019,698 = 1,019,698/x
  3. Step 3: Cross multiply
    663,020x = 1,019,698 × 1,019,698
  4. Step 4: Simplify right side
    663,020x = 1,039,784,011,204
  5. Step 5: Solve for x
    x = 1,039,784,011,204/663,020
  6. Step 6: Final answer
    x = 1,568,254.37

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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.