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Finding the Third Proportional to 587,941.03 and 1,287,986.06

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Solution

The third proportional to 587,941.03 and 1,287,986.06 is: 2,821,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,941.03 : 1,287,986.06 = 1,287,986.06 : x
  2. Step 2: Convert to fraction form
    587,941.03/1,287,986.06 = 1,287,986.06/x
  3. Step 3: Cross multiply
    587,941.03x = 1,287,986.06 × 1,287,986.06
  4. Step 4: Simplify right side
    587,941.03x = 1,658,908,097,194.25
  5. Step 5: Solve for x
    x = 1,658,908,097,194.25/587,941.03
  6. Step 6: Final answer
    x = 2,821,555.24

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Why These Related Problems?

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