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Finding the Third Proportional to 534,011 and 1,087,852

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Solution

The third proportional to 534,011 and 1,087,852 is: 2,216,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,011 : 1,087,852 = 1,087,852 : x
  2. Step 2: Convert to fraction form
    534,011/1,087,852 = 1,087,852/x
  3. Step 3: Cross multiply
    534,011x = 1,087,852 × 1,087,852
  4. Step 4: Simplify right side
    534,011x = 1,183,421,973,904
  5. Step 5: Solve for x
    x = 1,183,421,973,904/534,011
  6. Step 6: Final answer
    x = 2,216,100.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.