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Finding the Third Proportional to 722,634 and 1,573,950

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Solution

The third proportional to 722,634 and 1,573,950 is: 3,428,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,634 : 1,573,950 = 1,573,950 : x
  2. Step 2: Convert to fraction form
    722,634/1,573,950 = 1,573,950/x
  3. Step 3: Cross multiply
    722,634x = 1,573,950 × 1,573,950
  4. Step 4: Simplify right side
    722,634x = 2,477,318,602,500
  5. Step 5: Solve for x
    x = 2,477,318,602,500/722,634
  6. Step 6: Final answer
    x = 3,428,178.86

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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.