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Finding the Third Proportional to 667,160 and 1,006,512

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Solution

The third proportional to 667,160 and 1,006,512 is: 1,518,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,160 : 1,006,512 = 1,006,512 : x
  2. Step 2: Convert to fraction form
    667,160/1,006,512 = 1,006,512/x
  3. Step 3: Cross multiply
    667,160x = 1,006,512 × 1,006,512
  4. Step 4: Simplify right side
    667,160x = 1,013,066,406,144
  5. Step 5: Solve for x
    x = 1,013,066,406,144/667,160
  6. Step 6: Final answer
    x = 1,518,475.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.