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Finding the Third Proportional to 713,895 and 1,558,015

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Solution

The third proportional to 713,895 and 1,558,015 is: 3,400,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,895 : 1,558,015 = 1,558,015 : x
  2. Step 2: Convert to fraction form
    713,895/1,558,015 = 1,558,015/x
  3. Step 3: Cross multiply
    713,895x = 1,558,015 × 1,558,015
  4. Step 4: Simplify right side
    713,895x = 2,427,410,740,225
  5. Step 5: Solve for x
    x = 2,427,410,740,225/713,895
  6. Step 6: Final answer
    x = 3,400,234.96

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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.