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Finding the Third Proportional to 980,744 and 2,116,310

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Solution

The third proportional to 980,744 and 2,116,310 is: 4,566,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,744 : 2,116,310 = 2,116,310 : x
  2. Step 2: Convert to fraction form
    980,744/2,116,310 = 2,116,310/x
  3. Step 3: Cross multiply
    980,744x = 2,116,310 × 2,116,310
  4. Step 4: Simplify right side
    980,744x = 4,478,768,016,100
  5. Step 5: Solve for x
    x = 4,478,768,016,100/980,744
  6. Step 6: Final answer
    x = 4,566,704.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.