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Finding the Third Proportional to 936,840 and 1,402,692

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Solution

The third proportional to 936,840 and 1,402,692 is: 2,100,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,840 : 1,402,692 = 1,402,692 : x
  2. Step 2: Convert to fraction form
    936,840/1,402,692 = 1,402,692/x
  3. Step 3: Cross multiply
    936,840x = 1,402,692 × 1,402,692
  4. Step 4: Simplify right side
    936,840x = 1,967,544,846,864
  5. Step 5: Solve for x
    x = 1,967,544,846,864/936,840
  6. Step 6: Final answer
    x = 2,100,193.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.