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Finding the Third Proportional to 501,970 and 978,722

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Solution

The third proportional to 501,970 and 978,722 is: 1,908,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,970 : 978,722 = 978,722 : x
  2. Step 2: Convert to fraction form
    501,970/978,722 = 978,722/x
  3. Step 3: Cross multiply
    501,970x = 978,722 × 978,722
  4. Step 4: Simplify right side
    501,970x = 957,896,753,284
  5. Step 5: Solve for x
    x = 957,896,753,284/501,970
  6. Step 6: Final answer
    x = 1,908,274.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.