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Finding the Third Proportional to 609,642 and 949,354

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Solution

The third proportional to 609,642 and 949,354 is: 1,478,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,642 : 949,354 = 949,354 : x
  2. Step 2: Convert to fraction form
    609,642/949,354 = 949,354/x
  3. Step 3: Cross multiply
    609,642x = 949,354 × 949,354
  4. Step 4: Simplify right side
    609,642x = 901,273,017,316
  5. Step 5: Solve for x
    x = 901,273,017,316/609,642
  6. Step 6: Final answer
    x = 1,478,364.38

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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.