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Finding the Third Proportional to 1,284,384.09 and 2,823,006.94

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Solution

The third proportional to 1,284,384.09 and 2,823,006.94 is: 6,204,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,384.09 : 2,823,006.94 = 2,823,006.94 : x
  2. Step 2: Convert to fraction form
    1,284,384.09/2,823,006.94 = 2,823,006.94/x
  3. Step 3: Cross multiply
    1,284,384.09x = 2,823,006.94 × 2,823,006.94
  4. Step 4: Simplify right side
    1,284,384.09x = 7,969,368,169,173.13
  5. Step 5: Solve for x
    x = 7,969,368,169,173.13/1,284,384.09
  6. Step 6: Final answer
    x = 6,204,816.93

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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.