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Finding the Third Proportional to 909,216 and 1,363,824

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Solution

The third proportional to 909,216 and 1,363,824 is: 2,045,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,216 : 1,363,824 = 1,363,824 : x
  2. Step 2: Convert to fraction form
    909,216/1,363,824 = 1,363,824/x
  3. Step 3: Cross multiply
    909,216x = 1,363,824 × 1,363,824
  4. Step 4: Simplify right side
    909,216x = 1,860,015,902,976
  5. Step 5: Solve for x
    x = 1,860,015,902,976/909,216
  6. Step 6: Final answer
    x = 2,045,736

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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.