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Finding the Third Proportional to 619,415 and 978,980

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Solution

The third proportional to 619,415 and 978,980 is: 1,547,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,415 : 978,980 = 978,980 : x
  2. Step 2: Convert to fraction form
    619,415/978,980 = 978,980/x
  3. Step 3: Cross multiply
    619,415x = 978,980 × 978,980
  4. Step 4: Simplify right side
    619,415x = 958,401,840,400
  5. Step 5: Solve for x
    x = 958,401,840,400/619,415
  6. Step 6: Final answer
    x = 1,547,269.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.