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Finding the Third Proportional to 949,254 and 2,078,812

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Solution

The third proportional to 949,254 and 2,078,812 is: 4,552,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,254 : 2,078,812 = 2,078,812 : x
  2. Step 2: Convert to fraction form
    949,254/2,078,812 = 2,078,812/x
  3. Step 3: Cross multiply
    949,254x = 2,078,812 × 2,078,812
  4. Step 4: Simplify right side
    949,254x = 4,321,459,331,344
  5. Step 5: Solve for x
    x = 4,321,459,331,344/949,254
  6. Step 6: Final answer
    x = 4,552,479.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.