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Finding the Third Proportional to 785,066 and 1,694,476

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Solution

The third proportional to 785,066 and 1,694,476 is: 3,657,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,066 : 1,694,476 = 1,694,476 : x
  2. Step 2: Convert to fraction form
    785,066/1,694,476 = 1,694,476/x
  3. Step 3: Cross multiply
    785,066x = 1,694,476 × 1,694,476
  4. Step 4: Simplify right side
    785,066x = 2,871,248,914,576
  5. Step 5: Solve for x
    x = 2,871,248,914,576/785,066
  6. Step 6: Final answer
    x = 3,657,334.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.