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Finding the Third Proportional to 768,614 and 1,094,903

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Solution

The third proportional to 768,614 and 1,094,903 is: 1,559,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,614 : 1,094,903 = 1,094,903 : x
  2. Step 2: Convert to fraction form
    768,614/1,094,903 = 1,094,903/x
  3. Step 3: Cross multiply
    768,614x = 1,094,903 × 1,094,903
  4. Step 4: Simplify right side
    768,614x = 1,198,812,579,409
  5. Step 5: Solve for x
    x = 1,198,812,579,409/768,614
  6. Step 6: Final answer
    x = 1,559,706.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.