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Finding the Third Proportional to 425,893 and 938,203

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Solution

The third proportional to 425,893 and 938,203 is: 2,066,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,893 : 938,203 = 938,203 : x
  2. Step 2: Convert to fraction form
    425,893/938,203 = 938,203/x
  3. Step 3: Cross multiply
    425,893x = 938,203 × 938,203
  4. Step 4: Simplify right side
    425,893x = 880,224,869,209
  5. Step 5: Solve for x
    x = 880,224,869,209/425,893
  6. Step 6: Final answer
    x = 2,066,774.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.