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Finding the Third Proportional to 452,466 and 948,996

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Solution

The third proportional to 452,466 and 948,996 is: 1,990,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,466 : 948,996 = 948,996 : x
  2. Step 2: Convert to fraction form
    452,466/948,996 = 948,996/x
  3. Step 3: Cross multiply
    452,466x = 948,996 × 948,996
  4. Step 4: Simplify right side
    452,466x = 900,593,408,016
  5. Step 5: Solve for x
    x = 900,593,408,016/452,466
  6. Step 6: Final answer
    x = 1,990,411.23

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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.