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Finding the Third Proportional to 722,241 and 1,537,793

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Solution

The third proportional to 722,241 and 1,537,793 is: 3,274,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,241 : 1,537,793 = 1,537,793 : x
  2. Step 2: Convert to fraction form
    722,241/1,537,793 = 1,537,793/x
  3. Step 3: Cross multiply
    722,241x = 1,537,793 × 1,537,793
  4. Step 4: Simplify right side
    722,241x = 2,364,807,310,849
  5. Step 5: Solve for x
    x = 2,364,807,310,849/722,241
  6. Step 6: Final answer
    x = 3,274,263.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.