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Finding the Third Proportional to 713,226 and 1,058,049

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Solution

The third proportional to 713,226 and 1,058,049 is: 1,569,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,226 : 1,058,049 = 1,058,049 : x
  2. Step 2: Convert to fraction form
    713,226/1,058,049 = 1,058,049/x
  3. Step 3: Cross multiply
    713,226x = 1,058,049 × 1,058,049
  4. Step 4: Simplify right side
    713,226x = 1,119,467,686,401
  5. Step 5: Solve for x
    x = 1,119,467,686,401/713,226
  6. Step 6: Final answer
    x = 1,569,583.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.