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Finding the Third Proportional to 675,481.50 and 1,470,897

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Solution

The third proportional to 675,481.50 and 1,470,897 is: 3,202,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,481.50 : 1,470,897 = 1,470,897 : x
  2. Step 2: Convert to fraction form
    675,481.50/1,470,897 = 1,470,897/x
  3. Step 3: Cross multiply
    675,481.50x = 1,470,897 × 1,470,897
  4. Step 4: Simplify right side
    675,481.50x = 2,163,537,984,609
  5. Step 5: Solve for x
    x = 2,163,537,984,609/675,481.50
  6. Step 6: Final answer
    x = 3,202,956.68

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Why These Related Problems?

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