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Finding the Third Proportional to 646,690 and 978,982

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Solution

The third proportional to 646,690 and 978,982 is: 1,482,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,690 : 978,982 = 978,982 : x
  2. Step 2: Convert to fraction form
    646,690/978,982 = 978,982/x
  3. Step 3: Cross multiply
    646,690x = 978,982 × 978,982
  4. Step 4: Simplify right side
    646,690x = 958,405,756,324
  5. Step 5: Solve for x
    x = 958,405,756,324/646,690
  6. Step 6: Final answer
    x = 1,482,017.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.