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Finding the Third Proportional to 978,106 and 2,073,969

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Solution

The third proportional to 978,106 and 2,073,969 is: 4,397,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,106 : 2,073,969 = 2,073,969 : x
  2. Step 2: Convert to fraction form
    978,106/2,073,969 = 2,073,969/x
  3. Step 3: Cross multiply
    978,106x = 2,073,969 × 2,073,969
  4. Step 4: Simplify right side
    978,106x = 4,301,347,412,961
  5. Step 5: Solve for x
    x = 4,301,347,412,961/978,106
  6. Step 6: Final answer
    x = 4,397,629.10

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.