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Finding the Third Proportional to 745,289.44 and 1,608,676.88

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Solution

The third proportional to 745,289.44 and 1,608,676.88 is: 3,472,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,289.44 : 1,608,676.88 = 1,608,676.88 : x
  2. Step 2: Convert to fraction form
    745,289.44/1,608,676.88 = 1,608,676.88/x
  3. Step 3: Cross multiply
    745,289.44x = 1,608,676.88 × 1,608,676.88
  4. Step 4: Simplify right side
    745,289.44x = 2,587,841,288,159.77
  5. Step 5: Solve for x
    x = 2,587,841,288,159.77/745,289.44
  6. Step 6: Final answer
    x = 3,472,263.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.