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Finding the Third Proportional to 783,848 and 1,211,434

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Solution

The third proportional to 783,848 and 1,211,434 is: 1,872,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,848 : 1,211,434 = 1,211,434 : x
  2. Step 2: Convert to fraction form
    783,848/1,211,434 = 1,211,434/x
  3. Step 3: Cross multiply
    783,848x = 1,211,434 × 1,211,434
  4. Step 4: Simplify right side
    783,848x = 1,467,572,336,356
  5. Step 5: Solve for x
    x = 1,467,572,336,356/783,848
  6. Step 6: Final answer
    x = 1,872,266.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.