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Finding the Third Proportional to 1,377,464.01 and 3,216,603.93

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Solution

The third proportional to 1,377,464.01 and 3,216,603.93 is: 7,511,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,464.01 : 3,216,603.93 = 3,216,603.93 : x
  2. Step 2: Convert to fraction form
    1,377,464.01/3,216,603.93 = 3,216,603.93/x
  3. Step 3: Cross multiply
    1,377,464.01x = 3,216,603.93 × 3,216,603.93
  4. Step 4: Simplify right side
    1,377,464.01x = 10,346,540,862,469.77
  5. Step 5: Solve for x
    x = 10,346,540,862,469.77/1,377,464.01
  6. Step 6: Final answer
    x = 7,511,296.69

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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.