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Finding the Third Proportional to 706,906 and 1,058,049

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Solution

The third proportional to 706,906 and 1,058,049 is: 1,583,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,906 : 1,058,049 = 1,058,049 : x
  2. Step 2: Convert to fraction form
    706,906/1,058,049 = 1,058,049/x
  3. Step 3: Cross multiply
    706,906x = 1,058,049 × 1,058,049
  4. Step 4: Simplify right side
    706,906x = 1,119,467,686,401
  5. Step 5: Solve for x
    x = 1,119,467,686,401/706,906
  6. Step 6: Final answer
    x = 1,583,616.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.