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Finding the Third Proportional to 1,004,448.09 and 1,508,959.13

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Solution

The third proportional to 1,004,448.09 and 1,508,959.13 is: 2,266,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,448.09 : 1,508,959.13 = 1,508,959.13 : x
  2. Step 2: Convert to fraction form
    1,004,448.09/1,508,959.13 = 1,508,959.13/x
  3. Step 3: Cross multiply
    1,004,448.09x = 1,508,959.13 × 1,508,959.13
  4. Step 4: Simplify right side
    1,004,448.09x = 2,276,957,640,920.77
  5. Step 5: Solve for x
    x = 2,276,957,640,920.77/1,004,448.09
  6. Step 6: Final answer
    x = 2,266,874.37

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Why These Related Problems?

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