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Finding the Third Proportional to 909,192 and 1,914,240

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Solution

The third proportional to 909,192 and 1,914,240 is: 4,030,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,192 : 1,914,240 = 1,914,240 : x
  2. Step 2: Convert to fraction form
    909,192/1,914,240 = 1,914,240/x
  3. Step 3: Cross multiply
    909,192x = 1,914,240 × 1,914,240
  4. Step 4: Simplify right side
    909,192x = 3,664,314,777,600
  5. Step 5: Solve for x
    x = 3,664,314,777,600/909,192
  6. Step 6: Final answer
    x = 4,030,298.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.