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Finding the Third Proportional to 785,474 and 1,201,056

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Solution

The third proportional to 785,474 and 1,201,056 is: 1,836,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,474 : 1,201,056 = 1,201,056 : x
  2. Step 2: Convert to fraction form
    785,474/1,201,056 = 1,201,056/x
  3. Step 3: Cross multiply
    785,474x = 1,201,056 × 1,201,056
  4. Step 4: Simplify right side
    785,474x = 1,442,535,515,136
  5. Step 5: Solve for x
    x = 1,442,535,515,136/785,474
  6. Step 6: Final answer
    x = 1,836,515.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.