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Finding the Third Proportional to 442,697 and 978,430

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Solution

The third proportional to 442,697 and 978,430 is: 2,162,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,697 : 978,430 = 978,430 : x
  2. Step 2: Convert to fraction form
    442,697/978,430 = 978,430/x
  3. Step 3: Cross multiply
    442,697x = 978,430 × 978,430
  4. Step 4: Simplify right side
    442,697x = 957,325,264,900
  5. Step 5: Solve for x
    x = 957,325,264,900/442,697
  6. Step 6: Final answer
    x = 2,162,484.19

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Why These Related Problems?

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