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Finding the Third Proportional to 737,560 and 1,139,096

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Solution

The third proportional to 737,560 and 1,139,096 is: 1,759,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,560 : 1,139,096 = 1,139,096 : x
  2. Step 2: Convert to fraction form
    737,560/1,139,096 = 1,139,096/x
  3. Step 3: Cross multiply
    737,560x = 1,139,096 × 1,139,096
  4. Step 4: Simplify right side
    737,560x = 1,297,539,697,216
  5. Step 5: Solve for x
    x = 1,297,539,697,216/737,560
  6. Step 6: Final answer
    x = 1,759,232.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.