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Finding the Third Proportional to 580,826 and 1,258,168

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Solution

The third proportional to 580,826 and 1,258,168 is: 2,725,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,826 : 1,258,168 = 1,258,168 : x
  2. Step 2: Convert to fraction form
    580,826/1,258,168 = 1,258,168/x
  3. Step 3: Cross multiply
    580,826x = 1,258,168 × 1,258,168
  4. Step 4: Simplify right side
    580,826x = 1,582,986,716,224
  5. Step 5: Solve for x
    x = 1,582,986,716,224/580,826
  6. Step 6: Final answer
    x = 2,725,406.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.