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Finding the Third Proportional to 767,536 and 1,151,394

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Solution

The third proportional to 767,536 and 1,151,394 is: 1,727,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,536 : 1,151,394 = 1,151,394 : x
  2. Step 2: Convert to fraction form
    767,536/1,151,394 = 1,151,394/x
  3. Step 3: Cross multiply
    767,536x = 1,151,394 × 1,151,394
  4. Step 4: Simplify right side
    767,536x = 1,325,708,143,236
  5. Step 5: Solve for x
    x = 1,325,708,143,236/767,536
  6. Step 6: Final answer
    x = 1,727,226.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.