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Finding the Third Proportional to 834,018 and 1,820,967

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Solution

The third proportional to 834,018 and 1,820,967 is: 3,975,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,018 : 1,820,967 = 1,820,967 : x
  2. Step 2: Convert to fraction form
    834,018/1,820,967 = 1,820,967/x
  3. Step 3: Cross multiply
    834,018x = 1,820,967 × 1,820,967
  4. Step 4: Simplify right side
    834,018x = 3,315,920,815,089
  5. Step 5: Solve for x
    x = 3,315,920,815,089/834,018
  6. Step 6: Final answer
    x = 3,975,838.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.