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Finding the Third Proportional to 2,305,044 and 3,382,830

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Solution

The third proportional to 2,305,044 and 3,382,830 is: 4,964,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,044 : 3,382,830 = 3,382,830 : x
  2. Step 2: Convert to fraction form
    2,305,044/3,382,830 = 3,382,830/x
  3. Step 3: Cross multiply
    2,305,044x = 3,382,830 × 3,382,830
  4. Step 4: Simplify right side
    2,305,044x = 11,443,538,808,900
  5. Step 5: Solve for x
    x = 11,443,538,808,900/2,305,044
  6. Step 6: Final answer
    x = 4,964,564.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.