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Finding the Third Proportional to 971,976 and 2,103,696

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Solution

The third proportional to 971,976 and 2,103,696 is: 4,553,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,976 : 2,103,696 = 2,103,696 : x
  2. Step 2: Convert to fraction form
    971,976/2,103,696 = 2,103,696/x
  3. Step 3: Cross multiply
    971,976x = 2,103,696 × 2,103,696
  4. Step 4: Simplify right side
    971,976x = 4,425,536,860,416
  5. Step 5: Solve for x
    x = 4,425,536,860,416/971,976
  6. Step 6: Final answer
    x = 4,553,133.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.