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Finding the Third Proportional to 899,742 and 1,358,909

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Solution

The third proportional to 899,742 and 1,358,909 is: 2,052,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,742 : 1,358,909 = 1,358,909 : x
  2. Step 2: Convert to fraction form
    899,742/1,358,909 = 1,358,909/x
  3. Step 3: Cross multiply
    899,742x = 1,358,909 × 1,358,909
  4. Step 4: Simplify right side
    899,742x = 1,846,633,670,281
  5. Step 5: Solve for x
    x = 1,846,633,670,281/899,742
  6. Step 6: Final answer
    x = 2,052,403.54

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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.