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Finding the Third Proportional to 836,460 and 1,780,758

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Solution

The third proportional to 836,460 and 1,780,758 is: 3,791,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,460 : 1,780,758 = 1,780,758 : x
  2. Step 2: Convert to fraction form
    836,460/1,780,758 = 1,780,758/x
  3. Step 3: Cross multiply
    836,460x = 1,780,758 × 1,780,758
  4. Step 4: Simplify right side
    836,460x = 3,171,099,054,564
  5. Step 5: Solve for x
    x = 3,171,099,054,564/836,460
  6. Step 6: Final answer
    x = 3,791,094.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.