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Finding the Third Proportional to 637,846 and 1,353,436

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Solution

The third proportional to 637,846 and 1,353,436 is: 2,871,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,846 : 1,353,436 = 1,353,436 : x
  2. Step 2: Convert to fraction form
    637,846/1,353,436 = 1,353,436/x
  3. Step 3: Cross multiply
    637,846x = 1,353,436 × 1,353,436
  4. Step 4: Simplify right side
    637,846x = 1,831,789,006,096
  5. Step 5: Solve for x
    x = 1,831,789,006,096/637,846
  6. Step 6: Final answer
    x = 2,871,835.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.