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Finding the Third Proportional to 1,531,219 and 3,355,497

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Solution

The third proportional to 1,531,219 and 3,355,497 is: 7,353,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,219 : 3,355,497 = 3,355,497 : x
  2. Step 2: Convert to fraction form
    1,531,219/3,355,497 = 3,355,497/x
  3. Step 3: Cross multiply
    1,531,219x = 3,355,497 × 3,355,497
  4. Step 4: Simplify right side
    1,531,219x = 11,259,360,117,009
  5. Step 5: Solve for x
    x = 11,259,360,117,009/1,531,219
  6. Step 6: Final answer
    x = 7,353,200.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.