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Finding the Third Proportional to 891,534 and 1,738,395.50

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Solution

The third proportional to 891,534 and 1,738,395.50 is: 3,389,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,534 : 1,738,395.50 = 1,738,395.50 : x
  2. Step 2: Convert to fraction form
    891,534/1,738,395.50 = 1,738,395.50/x
  3. Step 3: Cross multiply
    891,534x = 1,738,395.50 × 1,738,395.50
  4. Step 4: Simplify right side
    891,534x = 3,022,018,914,420.25
  5. Step 5: Solve for x
    x = 3,022,018,914,420.25/891,534
  6. Step 6: Final answer
    x = 3,389,684.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.