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Finding the Third Proportional to 532,848 and 1,102,620

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Solution

The third proportional to 532,848 and 1,102,620 is: 2,281,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,848 : 1,102,620 = 1,102,620 : x
  2. Step 2: Convert to fraction form
    532,848/1,102,620 = 1,102,620/x
  3. Step 3: Cross multiply
    532,848x = 1,102,620 × 1,102,620
  4. Step 4: Simplify right side
    532,848x = 1,215,770,864,400
  5. Step 5: Solve for x
    x = 1,215,770,864,400/532,848
  6. Step 6: Final answer
    x = 2,281,646.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.