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Finding the Third Proportional to 1,685,405.81 and 3,714,380.44

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Solution

The third proportional to 1,685,405.81 and 3,714,380.44 is: 8,185,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,405.81 : 3,714,380.44 = 3,714,380.44 : x
  2. Step 2: Convert to fraction form
    1,685,405.81/3,714,380.44 = 3,714,380.44/x
  3. Step 3: Cross multiply
    1,685,405.81x = 3,714,380.44 × 3,714,380.44
  4. Step 4: Simplify right side
    1,685,405.81x = 13,796,622,034,482.69
  5. Step 5: Solve for x
    x = 13,796,622,034,482.69/1,685,405.81
  6. Step 6: Final answer
    x = 8,185,934.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.