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Finding the Third Proportional to 734,637 and 1,135,200

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Solution

The third proportional to 734,637 and 1,135,200 is: 1,754,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,637 : 1,135,200 = 1,135,200 : x
  2. Step 2: Convert to fraction form
    734,637/1,135,200 = 1,135,200/x
  3. Step 3: Cross multiply
    734,637x = 1,135,200 × 1,135,200
  4. Step 4: Simplify right side
    734,637x = 1,288,679,040,000
  5. Step 5: Solve for x
    x = 1,288,679,040,000/734,637
  6. Step 6: Final answer
    x = 1,754,171.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.