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Finding the Third Proportional to 466,425 and 966,060

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Solution

The third proportional to 466,425 and 966,060 is: 2,000,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,425 : 966,060 = 966,060 : x
  2. Step 2: Convert to fraction form
    466,425/966,060 = 966,060/x
  3. Step 3: Cross multiply
    466,425x = 966,060 × 966,060
  4. Step 4: Simplify right side
    466,425x = 933,271,923,600
  5. Step 5: Solve for x
    x = 933,271,923,600/466,425
  6. Step 6: Final answer
    x = 2,000,904.59

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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.