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Finding the Third Proportional to 513,258 and 1,127,124

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Solution

The third proportional to 513,258 and 1,127,124 is: 2,475,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,258 : 1,127,124 = 1,127,124 : x
  2. Step 2: Convert to fraction form
    513,258/1,127,124 = 1,127,124/x
  3. Step 3: Cross multiply
    513,258x = 1,127,124 × 1,127,124
  4. Step 4: Simplify right side
    513,258x = 1,270,408,511,376
  5. Step 5: Solve for x
    x = 1,270,408,511,376/513,258
  6. Step 6: Final answer
    x = 2,475,185.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.