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Finding the Third Proportional to 469,723.88 and 1,029,222.38

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Solution

The third proportional to 469,723.88 and 1,029,222.38 is: 2,255,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,723.88 : 1,029,222.38 = 1,029,222.38 : x
  2. Step 2: Convert to fraction form
    469,723.88/1,029,222.38 = 1,029,222.38/x
  3. Step 3: Cross multiply
    469,723.88x = 1,029,222.38 × 1,029,222.38
  4. Step 4: Simplify right side
    469,723.88x = 1,059,298,697,200.64
  5. Step 5: Solve for x
    x = 1,059,298,697,200.64/469,723.88
  6. Step 6: Final answer
    x = 2,255,151.92

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