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Finding the Third Proportional to 904,197 and 1,398,814

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Solution

The third proportional to 904,197 and 1,398,814 is: 2,163,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,197 : 1,398,814 = 1,398,814 : x
  2. Step 2: Convert to fraction form
    904,197/1,398,814 = 1,398,814/x
  3. Step 3: Cross multiply
    904,197x = 1,398,814 × 1,398,814
  4. Step 4: Simplify right side
    904,197x = 1,956,680,606,596
  5. Step 5: Solve for x
    x = 1,956,680,606,596/904,197
  6. Step 6: Final answer
    x = 2,163,998.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.