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Finding the Third Proportional to 734,274 and 1,143,292

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Solution

The third proportional to 734,274 and 1,143,292 is: 1,780,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,274 : 1,143,292 = 1,143,292 : x
  2. Step 2: Convert to fraction form
    734,274/1,143,292 = 1,143,292/x
  3. Step 3: Cross multiply
    734,274x = 1,143,292 × 1,143,292
  4. Step 4: Simplify right side
    734,274x = 1,307,116,597,264
  5. Step 5: Solve for x
    x = 1,307,116,597,264/734,274
  6. Step 6: Final answer
    x = 1,780,148.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.