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Finding the Third Proportional to 922,396 and 1,178,610

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Solution

The third proportional to 922,396 and 1,178,610 is: 1,505,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,396 : 1,178,610 = 1,178,610 : x
  2. Step 2: Convert to fraction form
    922,396/1,178,610 = 1,178,610/x
  3. Step 3: Cross multiply
    922,396x = 1,178,610 × 1,178,610
  4. Step 4: Simplify right side
    922,396x = 1,389,121,532,100
  5. Step 5: Solve for x
    x = 1,389,121,532,100/922,396
  6. Step 6: Final answer
    x = 1,505,992.58

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.