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Finding the Third Proportional to 822,136 and 1,801,376

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Solution

The third proportional to 822,136 and 1,801,376 is: 3,946,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,136 : 1,801,376 = 1,801,376 : x
  2. Step 2: Convert to fraction form
    822,136/1,801,376 = 1,801,376/x
  3. Step 3: Cross multiply
    822,136x = 1,801,376 × 1,801,376
  4. Step 4: Simplify right side
    822,136x = 3,244,955,493,376
  5. Step 5: Solve for x
    x = 3,244,955,493,376/822,136
  6. Step 6: Final answer
    x = 3,946,981.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.