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Finding the Third Proportional to 787,458.38 and 1,727,456.63

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Solution

The third proportional to 787,458.38 and 1,727,456.63 is: 3,789,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,458.38 : 1,727,456.63 = 1,727,456.63 : x
  2. Step 2: Convert to fraction form
    787,458.38/1,727,456.63 = 1,727,456.63/x
  3. Step 3: Cross multiply
    787,458.38x = 1,727,456.63 × 1,727,456.63
  4. Step 4: Simplify right side
    787,458.38x = 2,984,106,391,256.39
  5. Step 5: Solve for x
    x = 2,984,106,391,256.39/787,458.38
  6. Step 6: Final answer
    x = 3,789,541.75

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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.