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Finding the Third Proportional to 482,020 and 1,049,863

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Solution

The third proportional to 482,020 and 1,049,863 is: 2,286,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,020 : 1,049,863 = 1,049,863 : x
  2. Step 2: Convert to fraction form
    482,020/1,049,863 = 1,049,863/x
  3. Step 3: Cross multiply
    482,020x = 1,049,863 × 1,049,863
  4. Step 4: Simplify right side
    482,020x = 1,102,212,318,769
  5. Step 5: Solve for x
    x = 1,102,212,318,769/482,020
  6. Step 6: Final answer
    x = 2,286,652.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.