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Finding the Third Proportional to 919,156 and 1,964,564

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Solution

The third proportional to 919,156 and 1,964,564 is: 4,198,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,156 : 1,964,564 = 1,964,564 : x
  2. Step 2: Convert to fraction form
    919,156/1,964,564 = 1,964,564/x
  3. Step 3: Cross multiply
    919,156x = 1,964,564 × 1,964,564
  4. Step 4: Simplify right side
    919,156x = 3,859,511,710,096
  5. Step 5: Solve for x
    x = 3,859,511,710,096/919,156
  6. Step 6: Final answer
    x = 4,198,973.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.