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Finding the Third Proportional to 585,289.47 and 1,276,937.12

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Solution

The third proportional to 585,289.47 and 1,276,937.12 is: 2,785,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,289.47 : 1,276,937.12 = 1,276,937.12 : x
  2. Step 2: Convert to fraction form
    585,289.47/1,276,937.12 = 1,276,937.12/x
  3. Step 3: Cross multiply
    585,289.47x = 1,276,937.12 × 1,276,937.12
  4. Step 4: Simplify right side
    585,289.47x = 1,630,568,400,004.32
  5. Step 5: Solve for x
    x = 1,630,568,400,004.32/585,289.47
  6. Step 6: Final answer
    x = 2,785,917.89

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