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Finding the Third Proportional to 607,349 and 1,406,039

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Solution

The third proportional to 607,349 and 1,406,039 is: 3,255,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,349 : 1,406,039 = 1,406,039 : x
  2. Step 2: Convert to fraction form
    607,349/1,406,039 = 1,406,039/x
  3. Step 3: Cross multiply
    607,349x = 1,406,039 × 1,406,039
  4. Step 4: Simplify right side
    607,349x = 1,976,945,669,521
  5. Step 5: Solve for x
    x = 1,976,945,669,521/607,349
  6. Step 6: Final answer
    x = 3,255,040.63

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.