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Finding the Third Proportional to 836,306 and 1,256,343

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Solution

The third proportional to 836,306 and 1,256,343 is: 1,887,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,306 : 1,256,343 = 1,256,343 : x
  2. Step 2: Convert to fraction form
    836,306/1,256,343 = 1,256,343/x
  3. Step 3: Cross multiply
    836,306x = 1,256,343 × 1,256,343
  4. Step 4: Simplify right side
    836,306x = 1,578,397,733,649
  5. Step 5: Solve for x
    x = 1,578,397,733,649/836,306
  6. Step 6: Final answer
    x = 1,887,344.74

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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.