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Finding the Third Proportional to 936,864 and 1,402,728

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Solution

The third proportional to 936,864 and 1,402,728 is: 2,100,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,864 : 1,402,728 = 1,402,728 : x
  2. Step 2: Convert to fraction form
    936,864/1,402,728 = 1,402,728/x
  3. Step 3: Cross multiply
    936,864x = 1,402,728 × 1,402,728
  4. Step 4: Simplify right side
    936,864x = 1,967,645,841,984
  5. Step 5: Solve for x
    x = 1,967,645,841,984/936,864
  6. Step 6: Final answer
    x = 2,100,247.04

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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.