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Finding the Third Proportional to 667,312 and 1,006,728

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Solution

The third proportional to 667,312 and 1,006,728 is: 1,518,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,312 : 1,006,728 = 1,006,728 : x
  2. Step 2: Convert to fraction form
    667,312/1,006,728 = 1,006,728/x
  3. Step 3: Cross multiply
    667,312x = 1,006,728 × 1,006,728
  4. Step 4: Simplify right side
    667,312x = 1,013,501,265,984
  5. Step 5: Solve for x
    x = 1,013,501,265,984/667,312
  6. Step 6: Final answer
    x = 1,518,781.72

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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.