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Finding the Third Proportional to 2,194,920 and 3,298,224

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Solution

The third proportional to 2,194,920 and 3,298,224 is: 4,956,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194,920 : 3,298,224 = 3,298,224 : x
  2. Step 2: Convert to fraction form
    2,194,920/3,298,224 = 3,298,224/x
  3. Step 3: Cross multiply
    2,194,920x = 3,298,224 × 3,298,224
  4. Step 4: Simplify right side
    2,194,920x = 10,878,281,554,176
  5. Step 5: Solve for x
    x = 10,878,281,554,176/2,194,920
  6. Step 6: Final answer
    x = 4,956,117.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.