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Finding the Third Proportional to 824,575 and 1,790,151

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Solution

The third proportional to 824,575 and 1,790,151 is: 3,886,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,575 : 1,790,151 = 1,790,151 : x
  2. Step 2: Convert to fraction form
    824,575/1,790,151 = 1,790,151/x
  3. Step 3: Cross multiply
    824,575x = 1,790,151 × 1,790,151
  4. Step 4: Simplify right side
    824,575x = 3,204,640,602,801
  5. Step 5: Solve for x
    x = 3,204,640,602,801/824,575
  6. Step 6: Final answer
    x = 3,886,414.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.