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Finding the Third Proportional to 2,244,613 and 4,804,370

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Solution

The third proportional to 2,244,613 and 4,804,370 is: 10,283,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244,613 : 4,804,370 = 4,804,370 : x
  2. Step 2: Convert to fraction form
    2,244,613/4,804,370 = 4,804,370/x
  3. Step 3: Cross multiply
    2,244,613x = 4,804,370 × 4,804,370
  4. Step 4: Simplify right side
    2,244,613x = 23,081,971,096,900
  5. Step 5: Solve for x
    x = 23,081,971,096,900/2,244,613
  6. Step 6: Final answer
    x = 10,283,274.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.