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Finding the Third Proportional to 997,111 and 2,174,635

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Solution

The third proportional to 997,111 and 2,174,635 is: 4,742,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,111 : 2,174,635 = 2,174,635 : x
  2. Step 2: Convert to fraction form
    997,111/2,174,635 = 2,174,635/x
  3. Step 3: Cross multiply
    997,111x = 2,174,635 × 2,174,635
  4. Step 4: Simplify right side
    997,111x = 4,729,037,383,225
  5. Step 5: Solve for x
    x = 4,729,037,383,225/997,111
  6. Step 6: Final answer
    x = 4,742,739.16

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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.