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Finding the Third Proportional to 738,210 and 1,609,828

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Solution

The third proportional to 738,210 and 1,609,828 is: 3,510,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,210 : 1,609,828 = 1,609,828 : x
  2. Step 2: Convert to fraction form
    738,210/1,609,828 = 1,609,828/x
  3. Step 3: Cross multiply
    738,210x = 1,609,828 × 1,609,828
  4. Step 4: Simplify right side
    738,210x = 2,591,546,189,584
  5. Step 5: Solve for x
    x = 2,591,546,189,584/738,210
  6. Step 6: Final answer
    x = 3,510,581.26

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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.