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Finding the Third Proportional to 733,371 and 1,624,209

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Solution

The third proportional to 733,371 and 1,624,209 is: 3,597,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,371 : 1,624,209 = 1,624,209 : x
  2. Step 2: Convert to fraction form
    733,371/1,624,209 = 1,624,209/x
  3. Step 3: Cross multiply
    733,371x = 1,624,209 × 1,624,209
  4. Step 4: Simplify right side
    733,371x = 2,638,054,875,681
  5. Step 5: Solve for x
    x = 2,638,054,875,681/733,371
  6. Step 6: Final answer
    x = 3,597,162.79

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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.