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Finding the Third Proportional to 609,656 and 949,372

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Solution

The third proportional to 609,656 and 949,372 is: 1,478,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,656 : 949,372 = 949,372 : x
  2. Step 2: Convert to fraction form
    609,656/949,372 = 949,372/x
  3. Step 3: Cross multiply
    609,656x = 949,372 × 949,372
  4. Step 4: Simplify right side
    609,656x = 901,307,194,384
  5. Step 5: Solve for x
    x = 901,307,194,384/609,656
  6. Step 6: Final answer
    x = 1,478,386.49

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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.