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Finding the Third Proportional to 493,920 and 1,078,236

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Solution

The third proportional to 493,920 and 1,078,236 is: 2,353,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,920 : 1,078,236 = 1,078,236 : x
  2. Step 2: Convert to fraction form
    493,920/1,078,236 = 1,078,236/x
  3. Step 3: Cross multiply
    493,920x = 1,078,236 × 1,078,236
  4. Step 4: Simplify right side
    493,920x = 1,162,592,871,696
  5. Step 5: Solve for x
    x = 1,162,592,871,696/493,920
  6. Step 6: Final answer
    x = 2,353,808.05

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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.