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Finding the Third Proportional to 909,224 and 1,363,836

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Solution

The third proportional to 909,224 and 1,363,836 is: 2,045,754

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,224 : 1,363,836 = 1,363,836 : x
  2. Step 2: Convert to fraction form
    909,224/1,363,836 = 1,363,836/x
  3. Step 3: Cross multiply
    909,224x = 1,363,836 × 1,363,836
  4. Step 4: Simplify right side
    909,224x = 1,860,048,634,896
  5. Step 5: Solve for x
    x = 1,860,048,634,896/909,224
  6. Step 6: Final answer
    x = 2,045,754

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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.