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Finding the Third Proportional to 469,202.63 and 1,024,415.86

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Solution

The third proportional to 469,202.63 and 1,024,415.86 is: 2,236,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,202.63 : 1,024,415.86 = 1,024,415.86 : x
  2. Step 2: Convert to fraction form
    469,202.63/1,024,415.86 = 1,024,415.86/x
  3. Step 3: Cross multiply
    469,202.63x = 1,024,415.86 × 1,024,415.86
  4. Step 4: Simplify right side
    469,202.63x = 1,049,427,852,939.02
  5. Step 5: Solve for x
    x = 1,049,427,852,939.02/469,202.63
  6. Step 6: Final answer
    x = 2,236,619.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.