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Finding the Third Proportional to 666,592.50 and 1,477,320

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Solution

The third proportional to 666,592.50 and 1,477,320 is: 3,274,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,592.50 : 1,477,320 = 1,477,320 : x
  2. Step 2: Convert to fraction form
    666,592.50/1,477,320 = 1,477,320/x
  3. Step 3: Cross multiply
    666,592.50x = 1,477,320 × 1,477,320
  4. Step 4: Simplify right side
    666,592.50x = 2,182,474,382,400
  5. Step 5: Solve for x
    x = 2,182,474,382,400/666,592.50
  6. Step 6: Final answer
    x = 3,274,075.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.