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Finding the Third Proportional to 1,683,645.75 and 2,567,502.56

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Solution

The third proportional to 1,683,645.75 and 2,567,502.56 is: 3,915,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,645.75 : 2,567,502.56 = 2,567,502.56 : x
  2. Step 2: Convert to fraction form
    1,683,645.75/2,567,502.56 = 2,567,502.56/x
  3. Step 3: Cross multiply
    1,683,645.75x = 2,567,502.56 × 2,567,502.56
  4. Step 4: Simplify right side
    1,683,645.75x = 6,592,069,408,444.07
  5. Step 5: Solve for x
    x = 6,592,069,408,444.07/1,683,645.75
  6. Step 6: Final answer
    x = 3,915,354.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.