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Finding the Third Proportional to 646,679 and 978,964

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Solution

The third proportional to 646,679 and 978,964 is: 1,481,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,679 : 978,964 = 978,964 : x
  2. Step 2: Convert to fraction form
    646,679/978,964 = 978,964/x
  3. Step 3: Cross multiply
    646,679x = 978,964 × 978,964
  4. Step 4: Simplify right side
    646,679x = 958,370,513,296
  5. Step 5: Solve for x
    x = 958,370,513,296/646,679
  6. Step 6: Final answer
    x = 1,481,987.99

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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.