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Finding the Third Proportional to 2,607,774.75 and 3,989,189.25

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Solution

The third proportional to 2,607,774.75 and 3,989,189.25 is: 6,102,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607,774.75 : 3,989,189.25 = 3,989,189.25 : x
  2. Step 2: Convert to fraction form
    2,607,774.75/3,989,189.25 = 3,989,189.25/x
  3. Step 3: Cross multiply
    2,607,774.75x = 3,989,189.25 × 3,989,189.25
  4. Step 4: Simplify right side
    2,607,774.75x = 15,913,630,872,315.56
  5. Step 5: Solve for x
    x = 15,913,630,872,315.56/2,607,774.75
  6. Step 6: Final answer
    x = 6,102,379.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.