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Finding the Third Proportional to 664,226 and 1,004,202

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Solution

The third proportional to 664,226 and 1,004,202 is: 1,518,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,226 : 1,004,202 = 1,004,202 : x
  2. Step 2: Convert to fraction form
    664,226/1,004,202 = 1,004,202/x
  3. Step 3: Cross multiply
    664,226x = 1,004,202 × 1,004,202
  4. Step 4: Simplify right side
    664,226x = 1,008,421,656,804
  5. Step 5: Solve for x
    x = 1,008,421,656,804/664,226
  6. Step 6: Final answer
    x = 1,518,190.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.