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Finding the Third Proportional to 1,435,205.25 and 2,312,469

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Solution

The third proportional to 1,435,205.25 and 2,312,469 is: 3,725,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,205.25 : 2,312,469 = 2,312,469 : x
  2. Step 2: Convert to fraction form
    1,435,205.25/2,312,469 = 2,312,469/x
  3. Step 3: Cross multiply
    1,435,205.25x = 2,312,469 × 2,312,469
  4. Step 4: Simplify right side
    1,435,205.25x = 5,347,512,875,961
  5. Step 5: Solve for x
    x = 5,347,512,875,961/1,435,205.25
  6. Step 6: Final answer
    x = 3,725,956.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.