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Finding the Third Proportional to 2,437,858.69 and 3,648,825.56

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Solution

The third proportional to 2,437,858.69 and 3,648,825.56 is: 5,461,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437,858.69 : 3,648,825.56 = 3,648,825.56 : x
  2. Step 2: Convert to fraction form
    2,437,858.69/3,648,825.56 = 3,648,825.56/x
  3. Step 3: Cross multiply
    2,437,858.69x = 3,648,825.56 × 3,648,825.56
  4. Step 4: Simplify right side
    2,437,858.69x = 13,313,927,985,553.44
  5. Step 5: Solve for x
    x = 13,313,927,985,553.44/2,437,858.69
  6. Step 6: Final answer
    x = 5,461,320.65

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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.