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Finding the Third Proportional to 737,543 and 1,139,069

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Solution

The third proportional to 737,543 and 1,139,069 is: 1,759,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,543 : 1,139,069 = 1,139,069 : x
  2. Step 2: Convert to fraction form
    737,543/1,139,069 = 1,139,069/x
  3. Step 3: Cross multiply
    737,543x = 1,139,069 × 1,139,069
  4. Step 4: Simplify right side
    737,543x = 1,297,478,186,761
  5. Step 5: Solve for x
    x = 1,297,478,186,761/737,543
  6. Step 6: Final answer
    x = 1,759,189.89

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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.