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Finding the Third Proportional to 731,032 and 1,556,766

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Solution

The third proportional to 731,032 and 1,556,766 is: 3,315,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,032 : 1,556,766 = 1,556,766 : x
  2. Step 2: Convert to fraction form
    731,032/1,556,766 = 1,556,766/x
  3. Step 3: Cross multiply
    731,032x = 1,556,766 × 1,556,766
  4. Step 4: Simplify right side
    731,032x = 2,423,520,378,756
  5. Step 5: Solve for x
    x = 2,423,520,378,756/731,032
  6. Step 6: Final answer
    x = 3,315,204.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.