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Finding the Third Proportional to 753,790 and 1,640,441

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Solution

The third proportional to 753,790 and 1,640,441 is: 3,570,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,790 : 1,640,441 = 1,640,441 : x
  2. Step 2: Convert to fraction form
    753,790/1,640,441 = 1,640,441/x
  3. Step 3: Cross multiply
    753,790x = 1,640,441 × 1,640,441
  4. Step 4: Simplify right side
    753,790x = 2,691,046,674,481
  5. Step 5: Solve for x
    x = 2,691,046,674,481/753,790
  6. Step 6: Final answer
    x = 3,570,021.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.