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Finding the Third Proportional to 734,785 and 1,113,252

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Solution

The third proportional to 734,785 and 1,113,252 is: 1,686,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,785 : 1,113,252 = 1,113,252 : x
  2. Step 2: Convert to fraction form
    734,785/1,113,252 = 1,113,252/x
  3. Step 3: Cross multiply
    734,785x = 1,113,252 × 1,113,252
  4. Step 4: Simplify right side
    734,785x = 1,239,330,015,504
  5. Step 5: Solve for x
    x = 1,239,330,015,504/734,785
  6. Step 6: Final answer
    x = 1,686,656.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.