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Finding the Third Proportional to 582,268 and 1,258,028

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Solution

The third proportional to 582,268 and 1,258,028 is: 2,718,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,268 : 1,258,028 = 1,258,028 : x
  2. Step 2: Convert to fraction form
    582,268/1,258,028 = 1,258,028/x
  3. Step 3: Cross multiply
    582,268x = 1,258,028 × 1,258,028
  4. Step 4: Simplify right side
    582,268x = 1,582,634,448,784
  5. Step 5: Solve for x
    x = 1,582,634,448,784/582,268
  6. Step 6: Final answer
    x = 2,718,051.57

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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.