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Finding the Third Proportional to 582,259 and 1,258,011

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Solution

The third proportional to 582,259 and 1,258,011 is: 2,718,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,259 : 1,258,011 = 1,258,011 : x
  2. Step 2: Convert to fraction form
    582,259/1,258,011 = 1,258,011/x
  3. Step 3: Cross multiply
    582,259x = 1,258,011 × 1,258,011
  4. Step 4: Simplify right side
    582,259x = 1,582,591,676,121
  5. Step 5: Solve for x
    x = 1,582,591,676,121/582,259
  6. Step 6: Final answer
    x = 2,718,020.12

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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.