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Finding the Third Proportional to 469,461 and 978,633

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Solution

The third proportional to 469,461 and 978,633 is: 2,040,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,461 : 978,633 = 978,633 : x
  2. Step 2: Convert to fraction form
    469,461/978,633 = 978,633/x
  3. Step 3: Cross multiply
    469,461x = 978,633 × 978,633
  4. Step 4: Simplify right side
    469,461x = 957,722,548,689
  5. Step 5: Solve for x
    x = 957,722,548,689/469,461
  6. Step 6: Final answer
    x = 2,040,047.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.