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Finding the Third Proportional to 836,505 and 1,794,429

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Solution

The third proportional to 836,505 and 1,794,429 is: 3,849,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,505 : 1,794,429 = 1,794,429 : x
  2. Step 2: Convert to fraction form
    836,505/1,794,429 = 1,794,429/x
  3. Step 3: Cross multiply
    836,505x = 1,794,429 × 1,794,429
  4. Step 4: Simplify right side
    836,505x = 3,219,975,436,041
  5. Step 5: Solve for x
    x = 3,219,975,436,041/836,505
  6. Step 6: Final answer
    x = 3,849,320.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.