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Finding the Third Proportional to 899,738 and 1,358,903

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Solution

The third proportional to 899,738 and 1,358,903 is: 2,052,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,738 : 1,358,903 = 1,358,903 : x
  2. Step 2: Convert to fraction form
    899,738/1,358,903 = 1,358,903/x
  3. Step 3: Cross multiply
    899,738x = 1,358,903 × 1,358,903
  4. Step 4: Simplify right side
    899,738x = 1,846,617,363,409
  5. Step 5: Solve for x
    x = 1,846,617,363,409/899,738
  6. Step 6: Final answer
    x = 2,052,394.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.