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Finding the Third Proportional to 609,592 and 949,284

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Solution

The third proportional to 609,592 and 949,284 is: 1,478,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,592 : 949,284 = 949,284 : x
  2. Step 2: Convert to fraction form
    609,592/949,284 = 949,284/x
  3. Step 3: Cross multiply
    609,592x = 949,284 × 949,284
  4. Step 4: Simplify right side
    609,592x = 901,140,112,656
  5. Step 5: Solve for x
    x = 901,140,112,656/609,592
  6. Step 6: Final answer
    x = 1,478,267.62

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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.