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Finding the Third Proportional to 582,260 and 1,258,013

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Solution

The third proportional to 582,260 and 1,258,013 is: 2,718,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,260 : 1,258,013 = 1,258,013 : x
  2. Step 2: Convert to fraction form
    582,260/1,258,013 = 1,258,013/x
  3. Step 3: Cross multiply
    582,260x = 1,258,013 × 1,258,013
  4. Step 4: Simplify right side
    582,260x = 1,582,596,708,169
  5. Step 5: Solve for x
    x = 1,582,596,708,169/582,260
  6. Step 6: Final answer
    x = 2,718,024.09

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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.