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Finding the Third Proportional to 1,496,846.25 and 2,345,409

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Solution

The third proportional to 1,496,846.25 and 2,345,409 is: 3,675,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,846.25 : 2,345,409 = 2,345,409 : x
  2. Step 2: Convert to fraction form
    1,496,846.25/2,345,409 = 2,345,409/x
  3. Step 3: Cross multiply
    1,496,846.25x = 2,345,409 × 2,345,409
  4. Step 4: Simplify right side
    1,496,846.25x = 5,500,943,377,281
  5. Step 5: Solve for x
    x = 5,500,943,377,281/1,496,846.25
  6. Step 6: Final answer
    x = 3,675,022.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.