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Finding the Third Proportional to 619,401 and 978,959

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Solution

The third proportional to 619,401 and 978,959 is: 1,547,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,401 : 978,959 = 978,959 : x
  2. Step 2: Convert to fraction form
    619,401/978,959 = 978,959/x
  3. Step 3: Cross multiply
    619,401x = 978,959 × 978,959
  4. Step 4: Simplify right side
    619,401x = 958,360,723,681
  5. Step 5: Solve for x
    x = 958,360,723,681/619,401
  6. Step 6: Final answer
    x = 1,547,237.93

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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.