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Finding the Third Proportional to 644,064 and 1,515,456

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Solution

The third proportional to 644,064 and 1,515,456 is: 3,565,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,064 : 1,515,456 = 1,515,456 : x
  2. Step 2: Convert to fraction form
    644,064/1,515,456 = 1,515,456/x
  3. Step 3: Cross multiply
    644,064x = 1,515,456 × 1,515,456
  4. Step 4: Simplify right side
    644,064x = 2,296,606,887,936
  5. Step 5: Solve for x
    x = 2,296,606,887,936/644,064
  6. Step 6: Final answer
    x = 3,565,805.40

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.