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Finding the Third Proportional to 936,842 and 1,402,695

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Solution

The third proportional to 936,842 and 1,402,695 is: 2,100,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,842 : 1,402,695 = 1,402,695 : x
  2. Step 2: Convert to fraction form
    936,842/1,402,695 = 1,402,695/x
  3. Step 3: Cross multiply
    936,842x = 1,402,695 × 1,402,695
  4. Step 4: Simplify right side
    936,842x = 1,967,553,263,025
  5. Step 5: Solve for x
    x = 1,967,553,263,025/936,842
  6. Step 6: Final answer
    x = 2,100,197.54

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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.