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Finding the Third Proportional to 2,295,564 and 3,431,350

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Solution

The third proportional to 2,295,564 and 3,431,350 is: 5,129,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,564 : 3,431,350 = 3,431,350 : x
  2. Step 2: Convert to fraction form
    2,295,564/3,431,350 = 3,431,350/x
  3. Step 3: Cross multiply
    2,295,564x = 3,431,350 × 3,431,350
  4. Step 4: Simplify right side
    2,295,564x = 11,774,162,822,500
  5. Step 5: Solve for x
    x = 11,774,162,822,500/2,295,564
  6. Step 6: Final answer
    x = 5,129,093.69

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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.