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Finding the Third Proportional to 647,052.75 and 1,361,029.50

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Solution

The third proportional to 647,052.75 and 1,361,029.50 is: 2,862,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,052.75 : 1,361,029.50 = 1,361,029.50 : x
  2. Step 2: Convert to fraction form
    647,052.75/1,361,029.50 = 1,361,029.50/x
  3. Step 3: Cross multiply
    647,052.75x = 1,361,029.50 × 1,361,029.50
  4. Step 4: Simplify right side
    647,052.75x = 1,852,401,299,870.25
  5. Step 5: Solve for x
    x = 1,852,401,299,870.25/647,052.75
  6. Step 6: Final answer
    x = 2,862,828.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.