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Finding the Third Proportional to 646,670 and 978,952

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Solution

The third proportional to 646,670 and 978,952 is: 1,481,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,670 : 978,952 = 978,952 : x
  2. Step 2: Convert to fraction form
    646,670/978,952 = 978,952/x
  3. Step 3: Cross multiply
    646,670x = 978,952 × 978,952
  4. Step 4: Simplify right side
    646,670x = 958,347,018,304
  5. Step 5: Solve for x
    x = 958,347,018,304/646,670
  6. Step 6: Final answer
    x = 1,481,972.29

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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.