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Finding the Third Proportional to 737,588 and 1,113,165

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Solution

The third proportional to 737,588 and 1,113,165 is: 1,679,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,588 : 1,113,165 = 1,113,165 : x
  2. Step 2: Convert to fraction form
    737,588/1,113,165 = 1,113,165/x
  3. Step 3: Cross multiply
    737,588x = 1,113,165 × 1,113,165
  4. Step 4: Simplify right side
    737,588x = 1,239,136,317,225
  5. Step 5: Solve for x
    x = 1,239,136,317,225/737,588
  6. Step 6: Final answer
    x = 1,679,984.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.