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Finding the Third Proportional to 2,029,664 and 4,461,088

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Solution

The third proportional to 2,029,664 and 4,461,088 is: 9,805,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,664 : 4,461,088 = 4,461,088 : x
  2. Step 2: Convert to fraction form
    2,029,664/4,461,088 = 4,461,088/x
  3. Step 3: Cross multiply
    2,029,664x = 4,461,088 × 4,461,088
  4. Step 4: Simplify right side
    2,029,664x = 19,901,306,143,744
  5. Step 5: Solve for x
    x = 19,901,306,143,744/2,029,664
  6. Step 6: Final answer
    x = 9,805,222.02

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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.