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Finding the Third Proportional to 733,386 and 1,624,236

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Solution

The third proportional to 733,386 and 1,624,236 is: 3,597,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,386 : 1,624,236 = 1,624,236 : x
  2. Step 2: Convert to fraction form
    733,386/1,624,236 = 1,624,236/x
  3. Step 3: Cross multiply
    733,386x = 1,624,236 × 1,624,236
  4. Step 4: Simplify right side
    733,386x = 2,638,142,583,696
  5. Step 5: Solve for x
    x = 2,638,142,583,696/733,386
  6. Step 6: Final answer
    x = 3,597,208.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.