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Finding the Third Proportional to 842,223 and 1,295,865

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Solution

The third proportional to 842,223 and 1,295,865 is: 1,993,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,223 : 1,295,865 = 1,295,865 : x
  2. Step 2: Convert to fraction form
    842,223/1,295,865 = 1,295,865/x
  3. Step 3: Cross multiply
    842,223x = 1,295,865 × 1,295,865
  4. Step 4: Simplify right side
    842,223x = 1,679,266,098,225
  5. Step 5: Solve for x
    x = 1,679,266,098,225/842,223
  6. Step 6: Final answer
    x = 1,993,849.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.