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Finding the Third Proportional to 737,840 and 1,128,171

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Solution

The third proportional to 737,840 and 1,128,171 is: 1,724,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,840 : 1,128,171 = 1,128,171 : x
  2. Step 2: Convert to fraction form
    737,840/1,128,171 = 1,128,171/x
  3. Step 3: Cross multiply
    737,840x = 1,128,171 × 1,128,171
  4. Step 4: Simplify right side
    737,840x = 1,272,769,805,241
  5. Step 5: Solve for x
    x = 1,272,769,805,241/737,840
  6. Step 6: Final answer
    x = 1,724,994.31

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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.