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Finding the Third Proportional to 1,214,799.19 and 2,658,405.66

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Solution

The third proportional to 1,214,799.19 and 2,658,405.66 is: 5,817,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,799.19 : 2,658,405.66 = 2,658,405.66 : x
  2. Step 2: Convert to fraction form
    1,214,799.19/2,658,405.66 = 2,658,405.66/x
  3. Step 3: Cross multiply
    1,214,799.19x = 2,658,405.66 × 2,658,405.66
  4. Step 4: Simplify right side
    1,214,799.19x = 7,067,120,633,181.99
  5. Step 5: Solve for x
    x = 7,067,120,633,181.99/1,214,799.19
  6. Step 6: Final answer
    x = 5,817,521.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.