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Finding the Third Proportional to 785,498 and 1,201,073

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Solution

The third proportional to 785,498 and 1,201,073 is: 1,836,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,498 : 1,201,073 = 1,201,073 : x
  2. Step 2: Convert to fraction form
    785,498/1,201,073 = 1,201,073/x
  3. Step 3: Cross multiply
    785,498x = 1,201,073 × 1,201,073
  4. Step 4: Simplify right side
    785,498x = 1,442,576,351,329
  5. Step 5: Solve for x
    x = 1,442,576,351,329/785,498
  6. Step 6: Final answer
    x = 1,836,511.81

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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.