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Finding the Third Proportional to 1,227,147.47 and 2,636,453.81

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Solution

The third proportional to 1,227,147.47 and 2,636,453.81 is: 5,664,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,147.47 : 2,636,453.81 = 2,636,453.81 : x
  2. Step 2: Convert to fraction form
    1,227,147.47/2,636,453.81 = 2,636,453.81/x
  3. Step 3: Cross multiply
    1,227,147.47x = 2,636,453.81 × 2,636,453.81
  4. Step 4: Simplify right side
    1,227,147.47x = 6,950,888,705,445.79
  5. Step 5: Solve for x
    x = 6,950,888,705,445.79/1,227,147.47
  6. Step 6: Final answer
    x = 5,664,265.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.