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Finding the Third Proportional to 478,548 and 1,006,696

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Solution

The third proportional to 478,548 and 1,006,696 is: 2,117,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,548 : 1,006,696 = 1,006,696 : x
  2. Step 2: Convert to fraction form
    478,548/1,006,696 = 1,006,696/x
  3. Step 3: Cross multiply
    478,548x = 1,006,696 × 1,006,696
  4. Step 4: Simplify right side
    478,548x = 1,013,436,836,416
  5. Step 5: Solve for x
    x = 1,013,436,836,416/478,548
  6. Step 6: Final answer
    x = 2,117,732.88

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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.