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Finding the Third Proportional to 1,581,913 and 3,388,013

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Solution

The third proportional to 1,581,913 and 3,388,013 is: 7,256,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,913 : 3,388,013 = 3,388,013 : x
  2. Step 2: Convert to fraction form
    1,581,913/3,388,013 = 3,388,013/x
  3. Step 3: Cross multiply
    1,581,913x = 3,388,013 × 3,388,013
  4. Step 4: Simplify right side
    1,581,913x = 11,478,632,088,169
  5. Step 5: Solve for x
    x = 11,478,632,088,169/1,581,913
  6. Step 6: Final answer
    x = 7,256,171.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.