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Finding the Third Proportional to 442,730 and 978,488

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Solution

The third proportional to 442,730 and 978,488 is: 2,162,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,730 : 978,488 = 978,488 : x
  2. Step 2: Convert to fraction form
    442,730/978,488 = 978,488/x
  3. Step 3: Cross multiply
    442,730x = 978,488 × 978,488
  4. Step 4: Simplify right side
    442,730x = 957,438,766,144
  5. Step 5: Solve for x
    x = 957,438,766,144/442,730
  6. Step 6: Final answer
    x = 2,162,579.37

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.