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Finding the Third Proportional to 726,336 and 1,539,180

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Solution

The third proportional to 726,336 and 1,539,180 is: 3,261,679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,336 : 1,539,180 = 1,539,180 : x
  2. Step 2: Convert to fraction form
    726,336/1,539,180 = 1,539,180/x
  3. Step 3: Cross multiply
    726,336x = 1,539,180 × 1,539,180
  4. Step 4: Simplify right side
    726,336x = 2,369,075,072,400
  5. Step 5: Solve for x
    x = 2,369,075,072,400/726,336
  6. Step 6: Final answer
    x = 3,261,679.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.