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Finding the Third Proportional to 857,967.75 and 1,295,744.25

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Solution

The third proportional to 857,967.75 and 1,295,744.25 is: 1,956,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,967.75 : 1,295,744.25 = 1,295,744.25 : x
  2. Step 2: Convert to fraction form
    857,967.75/1,295,744.25 = 1,295,744.25/x
  3. Step 3: Cross multiply
    857,967.75x = 1,295,744.25 × 1,295,744.25
  4. Step 4: Simplify right side
    857,967.75x = 1,678,953,161,408.06
  5. Step 5: Solve for x
    x = 1,678,953,161,408.06/857,967.75
  6. Step 6: Final answer
    x = 1,956,895.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.