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Finding the Third Proportional to 2,063,854.69 and 4,856,122.13

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Solution

The third proportional to 2,063,854.69 and 4,856,122.13 is: 11,426,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063,854.69 : 4,856,122.13 = 4,856,122.13 : x
  2. Step 2: Convert to fraction form
    2,063,854.69/4,856,122.13 = 4,856,122.13/x
  3. Step 3: Cross multiply
    2,063,854.69x = 4,856,122.13 × 4,856,122.13
  4. Step 4: Simplify right side
    2,063,854.69x = 23,581,922,092,914.52
  5. Step 5: Solve for x
    x = 23,581,922,092,914.52/2,063,854.69
  6. Step 6: Final answer
    x = 11,426,154.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.