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Finding the Third Proportional to 734,790 and 1,113,257

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Solution

The third proportional to 734,790 and 1,113,257 is: 1,686,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,790 : 1,113,257 = 1,113,257 : x
  2. Step 2: Convert to fraction form
    734,790/1,113,257 = 1,113,257/x
  3. Step 3: Cross multiply
    734,790x = 1,113,257 × 1,113,257
  4. Step 4: Simplify right side
    734,790x = 1,239,341,148,049
  5. Step 5: Solve for x
    x = 1,239,341,148,049/734,790
  6. Step 6: Final answer
    x = 1,686,660.34

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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.