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Finding the Third Proportional to 409,391 and 888,363

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Solution

The third proportional to 409,391 and 888,363 is: 1,927,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,391 : 888,363 = 888,363 : x
  2. Step 2: Convert to fraction form
    409,391/888,363 = 888,363/x
  3. Step 3: Cross multiply
    409,391x = 888,363 × 888,363
  4. Step 4: Simplify right side
    409,391x = 789,188,819,769
  5. Step 5: Solve for x
    x = 789,188,819,769/409,391
  6. Step 6: Final answer
    x = 1,927,714.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.