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Finding the Third Proportional to 2,295,243 and 3,541,617

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Solution

The third proportional to 2,295,243 and 3,541,617 is: 5,464,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,243 : 3,541,617 = 3,541,617 : x
  2. Step 2: Convert to fraction form
    2,295,243/3,541,617 = 3,541,617/x
  3. Step 3: Cross multiply
    2,295,243x = 3,541,617 × 3,541,617
  4. Step 4: Simplify right side
    2,295,243x = 12,543,050,974,689
  5. Step 5: Solve for x
    x = 12,543,050,974,689/2,295,243
  6. Step 6: Final answer
    x = 5,464,803.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.