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Finding the Third Proportional to 609,644 and 949,357

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Solution

The third proportional to 609,644 and 949,357 is: 1,478,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,644 : 949,357 = 949,357 : x
  2. Step 2: Convert to fraction form
    609,644/949,357 = 949,357/x
  3. Step 3: Cross multiply
    609,644x = 949,357 × 949,357
  4. Step 4: Simplify right side
    609,644x = 901,278,713,449
  5. Step 5: Solve for x
    x = 901,278,713,449/609,644
  6. Step 6: Final answer
    x = 1,478,368.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.