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Finding the Third Proportional to 843,216 and 1,233,276

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Solution

The third proportional to 843,216 and 1,233,276 is: 1,803,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,216 : 1,233,276 = 1,233,276 : x
  2. Step 2: Convert to fraction form
    843,216/1,233,276 = 1,233,276/x
  3. Step 3: Cross multiply
    843,216x = 1,233,276 × 1,233,276
  4. Step 4: Simplify right side
    843,216x = 1,520,969,692,176
  5. Step 5: Solve for x
    x = 1,520,969,692,176/843,216
  6. Step 6: Final answer
    x = 1,803,772.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.