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Finding the Third Proportional to 737,564 and 1,139,102

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Solution

The third proportional to 737,564 and 1,139,102 is: 1,759,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,564 : 1,139,102 = 1,139,102 : x
  2. Step 2: Convert to fraction form
    737,564/1,139,102 = 1,139,102/x
  3. Step 3: Cross multiply
    737,564x = 1,139,102 × 1,139,102
  4. Step 4: Simplify right side
    737,564x = 1,297,553,366,404
  5. Step 5: Solve for x
    x = 1,297,553,366,404/737,564
  6. Step 6: Final answer
    x = 1,759,241.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.