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Finding the Third Proportional to 900,218 and 1,380,390

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Solution

The third proportional to 900,218 and 1,380,390 is: 2,116,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,218 : 1,380,390 = 1,380,390 : x
  2. Step 2: Convert to fraction form
    900,218/1,380,390 = 1,380,390/x
  3. Step 3: Cross multiply
    900,218x = 1,380,390 × 1,380,390
  4. Step 4: Simplify right side
    900,218x = 1,905,476,552,100
  5. Step 5: Solve for x
    x = 1,905,476,552,100/900,218
  6. Step 6: Final answer
    x = 2,116,683.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.