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Finding the Third Proportional to 1,496,874.94 and 2,345,451.19

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Solution

The third proportional to 1,496,874.94 and 2,345,451.19 is: 3,675,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,874.94 : 2,345,451.19 = 2,345,451.19 : x
  2. Step 2: Convert to fraction form
    1,496,874.94/2,345,451.19 = 2,345,451.19/x
  3. Step 3: Cross multiply
    1,496,874.94x = 2,345,451.19 × 2,345,451.19
  4. Step 4: Simplify right side
    1,496,874.94x = 5,501,141,272,945.16
  5. Step 5: Solve for x
    x = 5,501,141,272,945.16/1,496,874.94
  6. Step 6: Final answer
    x = 3,675,084.09

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Why These Related Problems?

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