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Finding the Third Proportional to 656,621.44 and 1,437,803.16

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Solution

The third proportional to 656,621.44 and 1,437,803.16 is: 3,148,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,621.44 : 1,437,803.16 = 1,437,803.16 : x
  2. Step 2: Convert to fraction form
    656,621.44/1,437,803.16 = 1,437,803.16/x
  3. Step 3: Cross multiply
    656,621.44x = 1,437,803.16 × 1,437,803.16
  4. Step 4: Simplify right side
    656,621.44x = 2,067,277,916,122.46
  5. Step 5: Solve for x
    x = 2,067,277,916,122.46/656,621.44
  6. Step 6: Final answer
    x = 3,148,355.81

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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.