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Finding the Third Proportional to 780,142 and 1,241,268

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Solution

The third proportional to 780,142 and 1,241,268 is: 1,974,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,142 : 1,241,268 = 1,241,268 : x
  2. Step 2: Convert to fraction form
    780,142/1,241,268 = 1,241,268/x
  3. Step 3: Cross multiply
    780,142x = 1,241,268 × 1,241,268
  4. Step 4: Simplify right side
    780,142x = 1,540,746,247,824
  5. Step 5: Solve for x
    x = 1,540,746,247,824/780,142
  6. Step 6: Final answer
    x = 1,974,956.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.