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Finding the Third Proportional to 478,576 and 1,006,728

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Solution

The third proportional to 478,576 and 1,006,728 is: 2,117,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,576 : 1,006,728 = 1,006,728 : x
  2. Step 2: Convert to fraction form
    478,576/1,006,728 = 1,006,728/x
  3. Step 3: Cross multiply
    478,576x = 1,006,728 × 1,006,728
  4. Step 4: Simplify right side
    478,576x = 1,013,501,265,984
  5. Step 5: Solve for x
    x = 1,013,501,265,984/478,576
  6. Step 6: Final answer
    x = 2,117,743.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.