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Finding the Third Proportional to 1,609,766 and 3,351,532

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Solution

The third proportional to 1,609,766 and 3,351,532 is: 6,977,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,766 : 3,351,532 = 3,351,532 : x
  2. Step 2: Convert to fraction form
    1,609,766/3,351,532 = 3,351,532/x
  3. Step 3: Cross multiply
    1,609,766x = 3,351,532 × 3,351,532
  4. Step 4: Simplify right side
    1,609,766x = 11,232,766,747,024
  5. Step 5: Solve for x
    x = 11,232,766,747,024/1,609,766
  6. Step 6: Final answer
    x = 6,977,887.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.