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Finding the Third Proportional to 841,729 and 1,801,637

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Solution

The third proportional to 841,729 and 1,801,637 is: 3,856,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,729 : 1,801,637 = 1,801,637 : x
  2. Step 2: Convert to fraction form
    841,729/1,801,637 = 1,801,637/x
  3. Step 3: Cross multiply
    841,729x = 1,801,637 × 1,801,637
  4. Step 4: Simplify right side
    841,729x = 3,245,895,879,769
  5. Step 5: Solve for x
    x = 3,245,895,879,769/841,729
  6. Step 6: Final answer
    x = 3,856,224.37

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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.