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Finding the Third Proportional to 1,410,098 and 2,118,303

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Solution

The third proportional to 1,410,098 and 2,118,303 is: 3,182,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,098 : 2,118,303 = 2,118,303 : x
  2. Step 2: Convert to fraction form
    1,410,098/2,118,303 = 2,118,303/x
  3. Step 3: Cross multiply
    1,410,098x = 2,118,303 × 2,118,303
  4. Step 4: Simplify right side
    1,410,098x = 4,487,207,599,809
  5. Step 5: Solve for x
    x = 4,487,207,599,809/1,410,098
  6. Step 6: Final answer
    x = 3,182,195.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.