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Finding the Third Proportional to 548,534 and 1,199,596

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Solution

The third proportional to 548,534 and 1,199,596 is: 2,623,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,534 : 1,199,596 = 1,199,596 : x
  2. Step 2: Convert to fraction form
    548,534/1,199,596 = 1,199,596/x
  3. Step 3: Cross multiply
    548,534x = 1,199,596 × 1,199,596
  4. Step 4: Simplify right side
    548,534x = 1,439,030,563,216
  5. Step 5: Solve for x
    x = 1,439,030,563,216/548,534
  6. Step 6: Final answer
    x = 2,623,411.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.