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Finding the Third Proportional to 2,146,914 and 3,209,355

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Solution

The third proportional to 2,146,914 and 3,209,355 is: 4,797,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,914 : 3,209,355 = 3,209,355 : x
  2. Step 2: Convert to fraction form
    2,146,914/3,209,355 = 3,209,355/x
  3. Step 3: Cross multiply
    2,146,914x = 3,209,355 × 3,209,355
  4. Step 4: Simplify right side
    2,146,914x = 10,299,959,516,025
  5. Step 5: Solve for x
    x = 10,299,959,516,025/2,146,914
  6. Step 6: Final answer
    x = 4,797,565.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.