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Finding the Third Proportional to 727,059 and 1,555,206

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Solution

The third proportional to 727,059 and 1,555,206 is: 3,326,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,059 : 1,555,206 = 1,555,206 : x
  2. Step 2: Convert to fraction form
    727,059/1,555,206 = 1,555,206/x
  3. Step 3: Cross multiply
    727,059x = 1,555,206 × 1,555,206
  4. Step 4: Simplify right side
    727,059x = 2,418,665,702,436
  5. Step 5: Solve for x
    x = 2,418,665,702,436/727,059
  6. Step 6: Final answer
    x = 3,326,642.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.