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Finding the Third Proportional to 411,095.25 and 896,897.81

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Solution

The third proportional to 411,095.25 and 896,897.81 is: 1,956,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,095.25 : 896,897.81 = 896,897.81 : x
  2. Step 2: Convert to fraction form
    411,095.25/896,897.81 = 896,897.81/x
  3. Step 3: Cross multiply
    411,095.25x = 896,897.81 × 896,897.81
  4. Step 4: Simplify right side
    411,095.25x = 804,425,686,067.29
  5. Step 5: Solve for x
    x = 804,425,686,067.29/411,095.25
  6. Step 6: Final answer
    x = 1,956,786.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.