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Finding the Third Proportional to 619,423 and 978,992

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Solution

The third proportional to 619,423 and 978,992 is: 1,547,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,423 : 978,992 = 978,992 : x
  2. Step 2: Convert to fraction form
    619,423/978,992 = 978,992/x
  3. Step 3: Cross multiply
    619,423x = 978,992 × 978,992
  4. Step 4: Simplify right side
    619,423x = 958,425,336,064
  5. Step 5: Solve for x
    x = 958,425,336,064/619,423
  6. Step 6: Final answer
    x = 1,547,287.29

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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.