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Finding the Third Proportional to 1,405,233 and 3,023,595.56

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Solution

The third proportional to 1,405,233 and 3,023,595.56 is: 6,505,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,233 : 3,023,595.56 = 3,023,595.56 : x
  2. Step 2: Convert to fraction form
    1,405,233/3,023,595.56 = 3,023,595.56/x
  3. Step 3: Cross multiply
    1,405,233x = 3,023,595.56 × 3,023,595.56
  4. Step 4: Simplify right side
    1,405,233x = 9,142,130,125,569.69
  5. Step 5: Solve for x
    x = 9,142,130,125,569.69/1,405,233
  6. Step 6: Final answer
    x = 6,505,775.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.