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Finding the Third Proportional to 936,416 and 1,402,059

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Solution

The third proportional to 936,416 and 1,402,059 is: 2,099,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,416 : 1,402,059 = 1,402,059 : x
  2. Step 2: Convert to fraction form
    936,416/1,402,059 = 1,402,059/x
  3. Step 3: Cross multiply
    936,416x = 1,402,059 × 1,402,059
  4. Step 4: Simplify right side
    936,416x = 1,965,769,439,481
  5. Step 5: Solve for x
    x = 1,965,769,439,481/936,416
  6. Step 6: Final answer
    x = 2,099,248.03

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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.