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Finding the Third Proportional to 754,038 and 1,640,757

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Solution

The third proportional to 754,038 and 1,640,757 is: 3,570,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,038 : 1,640,757 = 1,640,757 : x
  2. Step 2: Convert to fraction form
    754,038/1,640,757 = 1,640,757/x
  3. Step 3: Cross multiply
    754,038x = 1,640,757 × 1,640,757
  4. Step 4: Simplify right side
    754,038x = 2,692,083,533,049
  5. Step 5: Solve for x
    x = 2,692,083,533,049/754,038
  6. Step 6: Final answer
    x = 3,570,222.63

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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.