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Finding the Third Proportional to 656,036 and 978,991

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Solution

The third proportional to 656,036 and 978,991 is: 1,460,931.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,036 : 978,991 = 978,991 : x
  2. Step 2: Convert to fraction form
    656,036/978,991 = 978,991/x
  3. Step 3: Cross multiply
    656,036x = 978,991 × 978,991
  4. Step 4: Simplify right side
    656,036x = 958,423,378,081
  5. Step 5: Solve for x
    x = 958,423,378,081/656,036
  6. Step 6: Final answer
    x = 1,460,931.07

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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.