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Finding the Third Proportional to 646,687 and 978,977

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Solution

The third proportional to 646,687 and 978,977 is: 1,482,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,687 : 978,977 = 978,977 : x
  2. Step 2: Convert to fraction form
    646,687/978,977 = 978,977/x
  3. Step 3: Cross multiply
    646,687x = 978,977 × 978,977
  4. Step 4: Simplify right side
    646,687x = 958,395,966,529
  5. Step 5: Solve for x
    x = 958,395,966,529/646,687
  6. Step 6: Final answer
    x = 1,482,009.02

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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.