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Finding the Third Proportional to 1,676,800 and 3,637,156

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Solution

The third proportional to 1,676,800 and 3,637,156 is: 7,889,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,800 : 3,637,156 = 3,637,156 : x
  2. Step 2: Convert to fraction form
    1,676,800/3,637,156 = 3,637,156/x
  3. Step 3: Cross multiply
    1,676,800x = 3,637,156 × 3,637,156
  4. Step 4: Simplify right side
    1,676,800x = 13,228,903,768,336
  5. Step 5: Solve for x
    x = 13,228,903,768,336/1,676,800
  6. Step 6: Final answer
    x = 7,889,374.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.