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Finding the Third Proportional to 2,164,410 and 3,427,104

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Solution

The third proportional to 2,164,410 and 3,427,104 is: 5,426,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,410 : 3,427,104 = 3,427,104 : x
  2. Step 2: Convert to fraction form
    2,164,410/3,427,104 = 3,427,104/x
  3. Step 3: Cross multiply
    2,164,410x = 3,427,104 × 3,427,104
  4. Step 4: Simplify right side
    2,164,410x = 11,745,041,826,816
  5. Step 5: Solve for x
    x = 11,745,041,826,816/2,164,410
  6. Step 6: Final answer
    x = 5,426,440.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.