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Finding the Third Proportional to 2,029,680 and 4,461,120

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Solution

The third proportional to 2,029,680 and 4,461,120 is: 9,805,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,680 : 4,461,120 = 4,461,120 : x
  2. Step 2: Convert to fraction form
    2,029,680/4,461,120 = 4,461,120/x
  3. Step 3: Cross multiply
    2,029,680x = 4,461,120 × 4,461,120
  4. Step 4: Simplify right side
    2,029,680x = 19,901,591,654,400
  5. Step 5: Solve for x
    x = 19,901,591,654,400/2,029,680
  6. Step 6: Final answer
    x = 9,805,285.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.