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Finding the Third Proportional to 466,472 and 966,150

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Solution

The third proportional to 466,472 and 966,150 is: 2,001,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,472 : 966,150 = 966,150 : x
  2. Step 2: Convert to fraction form
    466,472/966,150 = 966,150/x
  3. Step 3: Cross multiply
    466,472x = 966,150 × 966,150
  4. Step 4: Simplify right side
    466,472x = 933,445,822,500
  5. Step 5: Solve for x
    x = 933,445,822,500/466,472
  6. Step 6: Final answer
    x = 2,001,075.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.