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Finding the Third Proportional to 424,107 and 914,638.50

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Solution

The third proportional to 424,107 and 914,638.50 is: 1,972,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,107 : 914,638.50 = 914,638.50 : x
  2. Step 2: Convert to fraction form
    424,107/914,638.50 = 914,638.50/x
  3. Step 3: Cross multiply
    424,107x = 914,638.50 × 914,638.50
  4. Step 4: Simplify right side
    424,107x = 836,563,585,682.25
  5. Step 5: Solve for x
    x = 836,563,585,682.25/424,107
  6. Step 6: Final answer
    x = 1,972,529.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.