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Finding the Third Proportional to 854,768 and 1,353,501

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Solution

The third proportional to 854,768 and 1,353,501 is: 2,143,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,768 : 1,353,501 = 1,353,501 : x
  2. Step 2: Convert to fraction form
    854,768/1,353,501 = 1,353,501/x
  3. Step 3: Cross multiply
    854,768x = 1,353,501 × 1,353,501
  4. Step 4: Simplify right side
    854,768x = 1,831,964,957,001
  5. Step 5: Solve for x
    x = 1,831,964,957,001/854,768
  6. Step 6: Final answer
    x = 2,143,230.63

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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.