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Finding the Third Proportional to 2,029,662 and 4,461,084

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Solution

The third proportional to 2,029,662 and 4,461,084 is: 9,805,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,662 : 4,461,084 = 4,461,084 : x
  2. Step 2: Convert to fraction form
    2,029,662/4,461,084 = 4,461,084/x
  3. Step 3: Cross multiply
    2,029,662x = 4,461,084 × 4,461,084
  4. Step 4: Simplify right side
    2,029,662x = 19,901,270,455,056
  5. Step 5: Solve for x
    x = 19,901,270,455,056/2,029,662
  6. Step 6: Final answer
    x = 9,805,214.10

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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.