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Finding the Third Proportional to 477,712.69 and 1,023,743.81

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Solution

The third proportional to 477,712.69 and 1,023,743.81 is: 2,193,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,712.69 : 1,023,743.81 = 1,023,743.81 : x
  2. Step 2: Convert to fraction form
    477,712.69/1,023,743.81 = 1,023,743.81/x
  3. Step 3: Cross multiply
    477,712.69x = 1,023,743.81 × 1,023,743.81
  4. Step 4: Simplify right side
    477,712.69x = 1,048,051,393,632.04
  5. Step 5: Solve for x
    x = 1,048,051,393,632.04/477,712.69
  6. Step 6: Final answer
    x = 2,193,894.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.