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Finding the Third Proportional to 614,690 and 949,299

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Solution

The third proportional to 614,690 and 949,299 is: 1,466,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,690 : 949,299 = 949,299 : x
  2. Step 2: Convert to fraction form
    614,690/949,299 = 949,299/x
  3. Step 3: Cross multiply
    614,690x = 949,299 × 949,299
  4. Step 4: Simplify right side
    614,690x = 901,168,591,401
  5. Step 5: Solve for x
    x = 901,168,591,401/614,690
  6. Step 6: Final answer
    x = 1,466,053.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.