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Finding the Third Proportional to 2,435,406.75 and 5,256,920.25

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Solution

The third proportional to 2,435,406.75 and 5,256,920.25 is: 11,347,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435,406.75 : 5,256,920.25 = 5,256,920.25 : x
  2. Step 2: Convert to fraction form
    2,435,406.75/5,256,920.25 = 5,256,920.25/x
  3. Step 3: Cross multiply
    2,435,406.75x = 5,256,920.25 × 5,256,920.25
  4. Step 4: Simplify right side
    2,435,406.75x = 27,635,210,514,860.06
  5. Step 5: Solve for x
    x = 27,635,210,514,860.06/2,435,406.75
  6. Step 6: Final answer
    x = 11,347,266.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.