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Finding the Third Proportional to 520,128 and 978,048

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Solution

The third proportional to 520,128 and 978,048 is: 1,839,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,128 : 978,048 = 978,048 : x
  2. Step 2: Convert to fraction form
    520,128/978,048 = 978,048/x
  3. Step 3: Cross multiply
    520,128x = 978,048 × 978,048
  4. Step 4: Simplify right side
    520,128x = 956,577,890,304
  5. Step 5: Solve for x
    x = 956,577,890,304/520,128
  6. Step 6: Final answer
    x = 1,839,120.16

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.