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Finding the Third Proportional to 442,006 and 954,441

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Solution

The third proportional to 442,006 and 954,441 is: 2,060,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,006 : 954,441 = 954,441 : x
  2. Step 2: Convert to fraction form
    442,006/954,441 = 954,441/x
  3. Step 3: Cross multiply
    442,006x = 954,441 × 954,441
  4. Step 4: Simplify right side
    442,006x = 910,957,622,481
  5. Step 5: Solve for x
    x = 910,957,622,481/442,006
  6. Step 6: Final answer
    x = 2,060,962.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.