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Finding the Third Proportional to 854,770 and 1,353,507

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Solution

The third proportional to 854,770 and 1,353,507 is: 2,143,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,770 : 1,353,507 = 1,353,507 : x
  2. Step 2: Convert to fraction form
    854,770/1,353,507 = 1,353,507/x
  3. Step 3: Cross multiply
    854,770x = 1,353,507 × 1,353,507
  4. Step 4: Simplify right side
    854,770x = 1,831,981,199,049
  5. Step 5: Solve for x
    x = 1,831,981,199,049/854,770
  6. Step 6: Final answer
    x = 2,143,244.61

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