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Finding the Third Proportional to 962,109 and 2,104,650

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Solution

The third proportional to 962,109 and 2,104,650 is: 4,604,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,109 : 2,104,650 = 2,104,650 : x
  2. Step 2: Convert to fraction form
    962,109/2,104,650 = 2,104,650/x
  3. Step 3: Cross multiply
    962,109x = 2,104,650 × 2,104,650
  4. Step 4: Simplify right side
    962,109x = 4,429,551,622,500
  5. Step 5: Solve for x
    x = 4,429,551,622,500/962,109
  6. Step 6: Final answer
    x = 4,604,001.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.