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Finding the Third Proportional to 452,468 and 949,000

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Solution

The third proportional to 452,468 and 949,000 is: 1,990,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,468 : 949,000 = 949,000 : x
  2. Step 2: Convert to fraction form
    452,468/949,000 = 949,000/x
  3. Step 3: Cross multiply
    452,468x = 949,000 × 949,000
  4. Step 4: Simplify right side
    452,468x = 900,601,000,000
  5. Step 5: Solve for x
    x = 900,601,000,000/452,468
  6. Step 6: Final answer
    x = 1,990,419.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.