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Finding the Third Proportional to 719,558 and 1,583,996

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Solution

The third proportional to 719,558 and 1,583,996 is: 3,486,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,558 : 1,583,996 = 1,583,996 : x
  2. Step 2: Convert to fraction form
    719,558/1,583,996 = 1,583,996/x
  3. Step 3: Cross multiply
    719,558x = 1,583,996 × 1,583,996
  4. Step 4: Simplify right side
    719,558x = 2,509,043,328,016
  5. Step 5: Solve for x
    x = 2,509,043,328,016/719,558
  6. Step 6: Final answer
    x = 3,486,922.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.