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Finding the Third Proportional to 1,638,348 and 3,591,632

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Solution

The third proportional to 1,638,348 and 3,591,632 is: 7,873,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,348 : 3,591,632 = 3,591,632 : x
  2. Step 2: Convert to fraction form
    1,638,348/3,591,632 = 3,591,632/x
  3. Step 3: Cross multiply
    1,638,348x = 3,591,632 × 3,591,632
  4. Step 4: Simplify right side
    1,638,348x = 12,899,820,423,424
  5. Step 5: Solve for x
    x = 12,899,820,423,424/1,638,348
  6. Step 6: Final answer
    x = 7,873,675.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.