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Finding the Third Proportional to 1,699,625.53 and 3,670,697.25

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Solution

The third proportional to 1,699,625.53 and 3,670,697.25 is: 7,927,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,625.53 : 3,670,697.25 = 3,670,697.25 : x
  2. Step 2: Convert to fraction form
    1,699,625.53/3,670,697.25 = 3,670,697.25/x
  3. Step 3: Cross multiply
    1,699,625.53x = 3,670,697.25 × 3,670,697.25
  4. Step 4: Simplify right side
    1,699,625.53x = 13,474,018,301,157.56
  5. Step 5: Solve for x
    x = 13,474,018,301,157.56/1,699,625.53
  6. Step 6: Final answer
    x = 7,927,639.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.