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Finding the Third Proportional to 656,034 and 978,988

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Solution

The third proportional to 656,034 and 978,988 is: 1,460,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,034 : 978,988 = 978,988 : x
  2. Step 2: Convert to fraction form
    656,034/978,988 = 978,988/x
  3. Step 3: Cross multiply
    656,034x = 978,988 × 978,988
  4. Step 4: Simplify right side
    656,034x = 958,417,504,144
  5. Step 5: Solve for x
    x = 958,417,504,144/656,034
  6. Step 6: Final answer
    x = 1,460,926.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.