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Finding the Third Proportional to 646,672 and 978,951

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Solution

The third proportional to 646,672 and 978,951 is: 1,481,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,672 : 978,951 = 978,951 : x
  2. Step 2: Convert to fraction form
    646,672/978,951 = 978,951/x
  3. Step 3: Cross multiply
    646,672x = 978,951 × 978,951
  4. Step 4: Simplify right side
    646,672x = 958,345,060,401
  5. Step 5: Solve for x
    x = 958,345,060,401/646,672
  6. Step 6: Final answer
    x = 1,481,964.68

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Why These Related Problems?

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