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Finding the Third Proportional to 2,164,012 and 3,363,989

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Solution

The third proportional to 2,164,012 and 3,363,989 is: 5,229,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,012 : 3,363,989 = 3,363,989 : x
  2. Step 2: Convert to fraction form
    2,164,012/3,363,989 = 3,363,989/x
  3. Step 3: Cross multiply
    2,164,012x = 3,363,989 × 3,363,989
  4. Step 4: Simplify right side
    2,164,012x = 11,316,421,992,121
  5. Step 5: Solve for x
    x = 11,316,421,992,121/2,164,012
  6. Step 6: Final answer
    x = 5,229,371.18

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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.