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Finding the Third Proportional to 442,699 and 978,434

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Solution

The third proportional to 442,699 and 978,434 is: 2,162,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,699 : 978,434 = 978,434 : x
  2. Step 2: Convert to fraction form
    442,699/978,434 = 978,434/x
  3. Step 3: Cross multiply
    442,699x = 978,434 × 978,434
  4. Step 4: Simplify right side
    442,699x = 957,333,092,356
  5. Step 5: Solve for x
    x = 957,333,092,356/442,699
  6. Step 6: Final answer
    x = 2,162,492.10

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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.