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Finding the Third Proportional to 1,405,221.75 and 3,023,573.06

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Solution

The third proportional to 1,405,221.75 and 3,023,573.06 is: 6,505,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,221.75 : 3,023,573.06 = 3,023,573.06 : x
  2. Step 2: Convert to fraction form
    1,405,221.75/3,023,573.06 = 3,023,573.06/x
  3. Step 3: Cross multiply
    1,405,221.75x = 3,023,573.06 × 3,023,573.06
  4. Step 4: Simplify right side
    1,405,221.75x = 9,141,994,064,275.63
  5. Step 5: Solve for x
    x = 9,141,994,064,275.63/1,405,221.75
  6. Step 6: Final answer
    x = 6,505,730.55

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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.