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Finding the Third Proportional to 2,029,670 and 4,461,094

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Solution

The third proportional to 2,029,670 and 4,461,094 is: 9,805,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,670 : 4,461,094 = 4,461,094 : x
  2. Step 2: Convert to fraction form
    2,029,670/4,461,094 = 4,461,094/x
  3. Step 3: Cross multiply
    2,029,670x = 4,461,094 × 4,461,094
  4. Step 4: Simplify right side
    2,029,670x = 19,901,359,676,836
  5. Step 5: Solve for x
    x = 19,901,359,676,836/2,029,670
  6. Step 6: Final answer
    x = 9,805,219.41

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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.