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Finding the Third Proportional to 405,243 and 938,142

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Solution

The third proportional to 405,243 and 938,142 is: 2,171,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,243 : 938,142 = 938,142 : x
  2. Step 2: Convert to fraction form
    405,243/938,142 = 938,142/x
  3. Step 3: Cross multiply
    405,243x = 938,142 × 938,142
  4. Step 4: Simplify right side
    405,243x = 880,110,412,164
  5. Step 5: Solve for x
    x = 880,110,412,164/405,243
  6. Step 6: Final answer
    x = 2,171,809.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.