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Finding the Third Proportional to 738,216 and 1,609,832

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Solution

The third proportional to 738,216 and 1,609,832 is: 3,510,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,216 : 1,609,832 = 1,609,832 : x
  2. Step 2: Convert to fraction form
    738,216/1,609,832 = 1,609,832/x
  3. Step 3: Cross multiply
    738,216x = 1,609,832 × 1,609,832
  4. Step 4: Simplify right side
    738,216x = 2,591,559,068,224
  5. Step 5: Solve for x
    x = 2,591,559,068,224/738,216
  6. Step 6: Final answer
    x = 3,510,570.17

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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.