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Finding the Third Proportional to 1,829,159 and 3,939,261

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Solution

The third proportional to 1,829,159 and 3,939,261 is: 8,483,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,159 : 3,939,261 = 3,939,261 : x
  2. Step 2: Convert to fraction form
    1,829,159/3,939,261 = 3,939,261/x
  3. Step 3: Cross multiply
    1,829,159x = 3,939,261 × 3,939,261
  4. Step 4: Simplify right side
    1,829,159x = 15,517,777,226,121
  5. Step 5: Solve for x
    x = 15,517,777,226,121/1,829,159
  6. Step 6: Final answer
    x = 8,483,558.41

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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.