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Finding the Third Proportional to 442,545 and 949,607

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Solution

The third proportional to 442,545 and 949,607 is: 2,037,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,545 : 949,607 = 949,607 : x
  2. Step 2: Convert to fraction form
    442,545/949,607 = 949,607/x
  3. Step 3: Cross multiply
    442,545x = 949,607 × 949,607
  4. Step 4: Simplify right side
    442,545x = 901,753,454,449
  5. Step 5: Solve for x
    x = 901,753,454,449/442,545
  6. Step 6: Final answer
    x = 2,037,653.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.