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Finding the Third Proportional to 736,836 and 1,171,679

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Solution

The third proportional to 736,836 and 1,171,679 is: 1,863,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,836 : 1,171,679 = 1,171,679 : x
  2. Step 2: Convert to fraction form
    736,836/1,171,679 = 1,171,679/x
  3. Step 3: Cross multiply
    736,836x = 1,171,679 × 1,171,679
  4. Step 4: Simplify right side
    736,836x = 1,372,831,679,041
  5. Step 5: Solve for x
    x = 1,372,831,679,041/736,836
  6. Step 6: Final answer
    x = 1,863,144.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.