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Finding the Third Proportional to 665,152 and 1,014,334

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Solution

The third proportional to 665,152 and 1,014,334 is: 1,546,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,152 : 1,014,334 = 1,014,334 : x
  2. Step 2: Convert to fraction form
    665,152/1,014,334 = 1,014,334/x
  3. Step 3: Cross multiply
    665,152x = 1,014,334 × 1,014,334
  4. Step 4: Simplify right side
    665,152x = 1,028,873,463,556
  5. Step 5: Solve for x
    x = 1,028,873,463,556/665,152
  6. Step 6: Final answer
    x = 1,546,824.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.