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Finding the Third Proportional to 857,725 and 1,261,641

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Solution

The third proportional to 857,725 and 1,261,641 is: 1,855,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,725 : 1,261,641 = 1,261,641 : x
  2. Step 2: Convert to fraction form
    857,725/1,261,641 = 1,261,641/x
  3. Step 3: Cross multiply
    857,725x = 1,261,641 × 1,261,641
  4. Step 4: Simplify right side
    857,725x = 1,591,738,012,881
  5. Step 5: Solve for x
    x = 1,591,738,012,881/857,725
  6. Step 6: Final answer
    x = 1,855,767.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.