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Finding the Third Proportional to 1,961,014 and 4,269,276

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Solution

The third proportional to 1,961,014 and 4,269,276 is: 9,294,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,014 : 4,269,276 = 4,269,276 : x
  2. Step 2: Convert to fraction form
    1,961,014/4,269,276 = 4,269,276/x
  3. Step 3: Cross multiply
    1,961,014x = 4,269,276 × 4,269,276
  4. Step 4: Simplify right side
    1,961,014x = 18,226,717,564,176
  5. Step 5: Solve for x
    x = 18,226,717,564,176/1,961,014
  6. Step 6: Final answer
    x = 9,294,537.20

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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.