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Finding the Third Proportional to 726,540 and 997,340

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Solution

The third proportional to 726,540 and 997,340 is: 1,369,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,540 : 997,340 = 997,340 : x
  2. Step 2: Convert to fraction form
    726,540/997,340 = 997,340/x
  3. Step 3: Cross multiply
    726,540x = 997,340 × 997,340
  4. Step 4: Simplify right side
    726,540x = 994,687,075,600
  5. Step 5: Solve for x
    x = 994,687,075,600/726,540
  6. Step 6: Final answer
    x = 1,369,074.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.