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Finding the Third Proportional to 663,021 and 1,019,702

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Solution

The third proportional to 663,021 and 1,019,702 is: 1,568,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,021 : 1,019,702 = 1,019,702 : x
  2. Step 2: Convert to fraction form
    663,021/1,019,702 = 1,019,702/x
  3. Step 3: Cross multiply
    663,021x = 1,019,702 × 1,019,702
  4. Step 4: Simplify right side
    663,021x = 1,039,792,168,804
  5. Step 5: Solve for x
    x = 1,039,792,168,804/663,021
  6. Step 6: Final answer
    x = 1,568,264.31

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Why These Related Problems?

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