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Finding the Third Proportional to 841,203 and 1,271,838

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Solution

The third proportional to 841,203 and 1,271,838 is: 1,922,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,203 : 1,271,838 = 1,271,838 : x
  2. Step 2: Convert to fraction form
    841,203/1,271,838 = 1,271,838/x
  3. Step 3: Cross multiply
    841,203x = 1,271,838 × 1,271,838
  4. Step 4: Simplify right side
    841,203x = 1,617,571,898,244
  5. Step 5: Solve for x
    x = 1,617,571,898,244/841,203
  6. Step 6: Final answer
    x = 1,922,926.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.