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Finding the Third Proportional to 478,536 and 1,006,672

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Solution

The third proportional to 478,536 and 1,006,672 is: 2,117,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,536 : 1,006,672 = 1,006,672 : x
  2. Step 2: Convert to fraction form
    478,536/1,006,672 = 1,006,672/x
  3. Step 3: Cross multiply
    478,536x = 1,006,672 × 1,006,672
  4. Step 4: Simplify right side
    478,536x = 1,013,388,515,584
  5. Step 5: Solve for x
    x = 1,013,388,515,584/478,536
  6. Step 6: Final answer
    x = 2,117,685.01

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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.