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Finding the Third Proportional to 841,725 and 1,801,629

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Solution

The third proportional to 841,725 and 1,801,629 is: 3,856,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,725 : 1,801,629 = 1,801,629 : x
  2. Step 2: Convert to fraction form
    841,725/1,801,629 = 1,801,629/x
  3. Step 3: Cross multiply
    841,725x = 1,801,629 × 1,801,629
  4. Step 4: Simplify right side
    841,725x = 3,245,867,053,641
  5. Step 5: Solve for x
    x = 3,245,867,053,641/841,725
  6. Step 6: Final answer
    x = 3,856,208.45

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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.