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Finding the Third Proportional to 426,820 and 915,848

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Solution

The third proportional to 426,820 and 915,848 is: 1,965,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,820 : 915,848 = 915,848 : x
  2. Step 2: Convert to fraction form
    426,820/915,848 = 915,848/x
  3. Step 3: Cross multiply
    426,820x = 915,848 × 915,848
  4. Step 4: Simplify right side
    426,820x = 838,777,559,104
  5. Step 5: Solve for x
    x = 838,777,559,104/426,820
  6. Step 6: Final answer
    x = 1,965,178.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.