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Finding the Third Proportional to 1,013,259 and 1,581,233

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Solution

The third proportional to 1,013,259 and 1,581,233 is: 2,467,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,259 : 1,581,233 = 1,581,233 : x
  2. Step 2: Convert to fraction form
    1,013,259/1,581,233 = 1,581,233/x
  3. Step 3: Cross multiply
    1,013,259x = 1,581,233 × 1,581,233
  4. Step 4: Simplify right side
    1,013,259x = 2,500,297,800,289
  5. Step 5: Solve for x
    x = 2,500,297,800,289/1,013,259
  6. Step 6: Final answer
    x = 2,467,580.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.