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Finding the Third Proportional to 663,018 and 1,019,697

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Solution

The third proportional to 663,018 and 1,019,697 is: 1,568,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,018 : 1,019,697 = 1,019,697 : x
  2. Step 2: Convert to fraction form
    663,018/1,019,697 = 1,019,697/x
  3. Step 3: Cross multiply
    663,018x = 1,019,697 × 1,019,697
  4. Step 4: Simplify right side
    663,018x = 1,039,781,971,809
  5. Step 5: Solve for x
    x = 1,039,781,971,809/663,018
  6. Step 6: Final answer
    x = 1,568,256.02

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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.