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Finding the Third Proportional to 1,377,488.53 and 3,216,669.47

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Solution

The third proportional to 1,377,488.53 and 3,216,669.47 is: 7,511,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,488.53 : 3,216,669.47 = 3,216,669.47 : x
  2. Step 2: Convert to fraction form
    1,377,488.53/3,216,669.47 = 3,216,669.47/x
  3. Step 3: Cross multiply
    1,377,488.53x = 3,216,669.47 × 3,216,669.47
  4. Step 4: Simplify right side
    1,377,488.53x = 10,346,962,471,188.41
  5. Step 5: Solve for x
    x = 10,346,962,471,188.41/1,377,488.53
  6. Step 6: Final answer
    x = 7,511,469.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.