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Finding the Third Proportional to 580,911 and 1,258,320

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Solution

The third proportional to 580,911 and 1,258,320 is: 2,725,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,911 : 1,258,320 = 1,258,320 : x
  2. Step 2: Convert to fraction form
    580,911/1,258,320 = 1,258,320/x
  3. Step 3: Cross multiply
    580,911x = 1,258,320 × 1,258,320
  4. Step 4: Simplify right side
    580,911x = 1,583,369,222,400
  5. Step 5: Solve for x
    x = 1,583,369,222,400/580,911
  6. Step 6: Final answer
    x = 2,725,665.76

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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.