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Finding the Third Proportional to 442,749 and 978,528

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Solution

The third proportional to 442,749 and 978,528 is: 2,162,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,749 : 978,528 = 978,528 : x
  2. Step 2: Convert to fraction form
    442,749/978,528 = 978,528/x
  3. Step 3: Cross multiply
    442,749x = 978,528 × 978,528
  4. Step 4: Simplify right side
    442,749x = 957,517,046,784
  5. Step 5: Solve for x
    x = 957,517,046,784/442,749
  6. Step 6: Final answer
    x = 2,162,663.38

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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.