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Finding the Third Proportional to 944,097.75 and 1,423,984.50

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Solution

The third proportional to 944,097.75 and 1,423,984.50 is: 2,147,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,097.75 : 1,423,984.50 = 1,423,984.50 : x
  2. Step 2: Convert to fraction form
    944,097.75/1,423,984.50 = 1,423,984.50/x
  3. Step 3: Cross multiply
    944,097.75x = 1,423,984.50 × 1,423,984.50
  4. Step 4: Simplify right side
    944,097.75x = 2,027,731,856,240.25
  5. Step 5: Solve for x
    x = 2,027,731,856,240.25/944,097.75
  6. Step 6: Final answer
    x = 2,147,798.63

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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.