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Finding the Third Proportional to 1,099,415 and 2,386,831

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Solution

The third proportional to 1,099,415 and 2,386,831 is: 5,181,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,415 : 2,386,831 = 2,386,831 : x
  2. Step 2: Convert to fraction form
    1,099,415/2,386,831 = 2,386,831/x
  3. Step 3: Cross multiply
    1,099,415x = 2,386,831 × 2,386,831
  4. Step 4: Simplify right side
    1,099,415x = 5,696,962,222,561
  5. Step 5: Solve for x
    x = 5,696,962,222,561/1,099,415
  6. Step 6: Final answer
    x = 5,181,812.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.