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Finding the Third Proportional to 909,233 and 1,363,849

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Solution

The third proportional to 909,233 and 1,363,849 is: 2,045,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,233 : 1,363,849 = 1,363,849 : x
  2. Step 2: Convert to fraction form
    909,233/1,363,849 = 1,363,849/x
  3. Step 3: Cross multiply
    909,233x = 1,363,849 × 1,363,849
  4. Step 4: Simplify right side
    909,233x = 1,860,084,094,801
  5. Step 5: Solve for x
    x = 1,860,084,094,801/909,233
  6. Step 6: Final answer
    x = 2,045,772.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.