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Finding the Third Proportional to 1,383,409.13 and 2,094,414.47

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Solution

The third proportional to 1,383,409.13 and 2,094,414.47 is: 3,170,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,409.13 : 2,094,414.47 = 2,094,414.47 : x
  2. Step 2: Convert to fraction form
    1,383,409.13/2,094,414.47 = 2,094,414.47/x
  3. Step 3: Cross multiply
    1,383,409.13x = 2,094,414.47 × 2,094,414.47
  4. Step 4: Simplify right side
    1,383,409.13x = 4,386,571,966,909.35
  5. Step 5: Solve for x
    x = 4,386,571,966,909.35/1,383,409.13
  6. Step 6: Final answer
    x = 3,170,842.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.