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Finding the Third Proportional to 646,691 and 978,983

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Solution

The third proportional to 646,691 and 978,983 is: 1,482,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,691 : 978,983 = 978,983 : x
  2. Step 2: Convert to fraction form
    646,691/978,983 = 978,983/x
  3. Step 3: Cross multiply
    646,691x = 978,983 × 978,983
  4. Step 4: Simplify right side
    646,691x = 958,407,714,289
  5. Step 5: Solve for x
    x = 958,407,714,289/646,691
  6. Step 6: Final answer
    x = 1,482,018.02

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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.