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Finding the Third Proportional to 785,331.56 and 1,259,994.94

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Solution

The third proportional to 785,331.56 and 1,259,994.94 is: 2,021,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,331.56 : 1,259,994.94 = 1,259,994.94 : x
  2. Step 2: Convert to fraction form
    785,331.56/1,259,994.94 = 1,259,994.94/x
  3. Step 3: Cross multiply
    785,331.56x = 1,259,994.94 × 1,259,994.94
  4. Step 4: Simplify right side
    785,331.56x = 1,587,587,242,525.63
  5. Step 5: Solve for x
    x = 1,587,587,242,525.63/785,331.56
  6. Step 6: Final answer
    x = 2,021,550.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.