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Finding the Third Proportional to 854,766 and 1,353,498

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Solution

The third proportional to 854,766 and 1,353,498 is: 2,143,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,766 : 1,353,498 = 1,353,498 : x
  2. Step 2: Convert to fraction form
    854,766/1,353,498 = 1,353,498/x
  3. Step 3: Cross multiply
    854,766x = 1,353,498 × 1,353,498
  4. Step 4: Simplify right side
    854,766x = 1,831,956,836,004
  5. Step 5: Solve for x
    x = 1,831,956,836,004/854,766
  6. Step 6: Final answer
    x = 2,143,226.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.