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Finding the Third Proportional to 820,136 and 1,775,056

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Solution

The third proportional to 820,136 and 1,775,056 is: 3,841,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,136 : 1,775,056 = 1,775,056 : x
  2. Step 2: Convert to fraction form
    820,136/1,775,056 = 1,775,056/x
  3. Step 3: Cross multiply
    820,136x = 1,775,056 × 1,775,056
  4. Step 4: Simplify right side
    820,136x = 3,150,823,803,136
  5. Step 5: Solve for x
    x = 3,150,823,803,136/820,136
  6. Step 6: Final answer
    x = 3,841,830.87

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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.