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Finding the Third Proportional to 646,520 and 978,778

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Solution

The third proportional to 646,520 and 978,778 is: 1,481,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,520 : 978,778 = 978,778 : x
  2. Step 2: Convert to fraction form
    646,520/978,778 = 978,778/x
  3. Step 3: Cross multiply
    646,520x = 978,778 × 978,778
  4. Step 4: Simplify right side
    646,520x = 958,006,373,284
  5. Step 5: Solve for x
    x = 958,006,373,284/646,520
  6. Step 6: Final answer
    x = 1,481,789.23

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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.