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Finding the Third Proportional to 582,266 and 1,258,024

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Solution

The third proportional to 582,266 and 1,258,024 is: 2,718,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,266 : 1,258,024 = 1,258,024 : x
  2. Step 2: Convert to fraction form
    582,266/1,258,024 = 1,258,024/x
  3. Step 3: Cross multiply
    582,266x = 1,258,024 × 1,258,024
  4. Step 4: Simplify right side
    582,266x = 1,582,624,384,576
  5. Step 5: Solve for x
    x = 1,582,624,384,576/582,266
  6. Step 6: Final answer
    x = 2,718,043.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.