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Finding the Third Proportional to 1,922,944 and 2,785,272

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Solution

The third proportional to 1,922,944 and 2,785,272 is: 4,034,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,944 : 2,785,272 = 2,785,272 : x
  2. Step 2: Convert to fraction form
    1,922,944/2,785,272 = 2,785,272/x
  3. Step 3: Cross multiply
    1,922,944x = 2,785,272 × 2,785,272
  4. Step 4: Simplify right side
    1,922,944x = 7,757,740,113,984
  5. Step 5: Solve for x
    x = 7,757,740,113,984/1,922,944
  6. Step 6: Final answer
    x = 4,034,303.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.