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Finding the Third Proportional to 1,607,164 and 3,347,462

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Solution

The third proportional to 1,607,164 and 3,347,462 is: 6,972,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,164 : 3,347,462 = 3,347,462 : x
  2. Step 2: Convert to fraction form
    1,607,164/3,347,462 = 3,347,462/x
  3. Step 3: Cross multiply
    1,607,164x = 3,347,462 × 3,347,462
  4. Step 4: Simplify right side
    1,607,164x = 11,205,501,841,444
  5. Step 5: Solve for x
    x = 11,205,501,841,444/1,607,164
  6. Step 6: Final answer
    x = 6,972,220.53

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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.