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Finding the Third Proportional to 587,953.69 and 1,288,009.69

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Solution

The third proportional to 587,953.69 and 1,288,009.69 is: 2,821,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,953.69 : 1,288,009.69 = 1,288,009.69 : x
  2. Step 2: Convert to fraction form
    587,953.69/1,288,009.69 = 1,288,009.69/x
  3. Step 3: Cross multiply
    587,953.69x = 1,288,009.69 × 1,288,009.69
  4. Step 4: Simplify right side
    587,953.69x = 1,658,968,955,093.85
  5. Step 5: Solve for x
    x = 1,658,968,955,093.85/587,953.69
  6. Step 6: Final answer
    x = 2,821,598.01

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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.