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Finding the Third Proportional to 582,262 and 1,258,017

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Solution

The third proportional to 582,262 and 1,258,017 is: 2,718,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,262 : 1,258,017 = 1,258,017 : x
  2. Step 2: Convert to fraction form
    582,262/1,258,017 = 1,258,017/x
  3. Step 3: Cross multiply
    582,262x = 1,258,017 × 1,258,017
  4. Step 4: Simplify right side
    582,262x = 1,582,606,772,289
  5. Step 5: Solve for x
    x = 1,582,606,772,289/582,262
  6. Step 6: Final answer
    x = 2,718,032.04

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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.