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Finding the Third Proportional to 1,579,120.31 and 2,256,472.69

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Solution

The third proportional to 1,579,120.31 and 2,256,472.69 is: 3,224,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579,120.31 : 2,256,472.69 = 2,256,472.69 : x
  2. Step 2: Convert to fraction form
    1,579,120.31/2,256,472.69 = 2,256,472.69/x
  3. Step 3: Cross multiply
    1,579,120.31x = 2,256,472.69 × 2,256,472.69
  4. Step 4: Simplify right side
    1,579,120.31x = 5,091,668,989,433.47
  5. Step 5: Solve for x
    x = 5,091,668,989,433.47/1,579,120.31
  6. Step 6: Final answer
    x = 3,224,370.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.