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Finding the Third Proportional to 886,024 and 1,932,407

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Solution

The third proportional to 886,024 and 1,932,407 is: 4,214,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,024 : 1,932,407 = 1,932,407 : x
  2. Step 2: Convert to fraction form
    886,024/1,932,407 = 1,932,407/x
  3. Step 3: Cross multiply
    886,024x = 1,932,407 × 1,932,407
  4. Step 4: Simplify right side
    886,024x = 3,734,196,813,649
  5. Step 5: Solve for x
    x = 3,734,196,813,649/886,024
  6. Step 6: Final answer
    x = 4,214,554.93

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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.