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Finding the Third Proportional to 838,532 and 1,810,551

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Solution

The third proportional to 838,532 and 1,810,551 is: 3,909,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,532 : 1,810,551 = 1,810,551 : x
  2. Step 2: Convert to fraction form
    838,532/1,810,551 = 1,810,551/x
  3. Step 3: Cross multiply
    838,532x = 1,810,551 × 1,810,551
  4. Step 4: Simplify right side
    838,532x = 3,278,094,923,601
  5. Step 5: Solve for x
    x = 3,278,094,923,601/838,532
  6. Step 6: Final answer
    x = 3,909,325.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.