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Finding the Third Proportional to 841,201 and 1,271,837

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Solution

The third proportional to 841,201 and 1,271,837 is: 1,922,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,201 : 1,271,837 = 1,271,837 : x
  2. Step 2: Convert to fraction form
    841,201/1,271,837 = 1,271,837/x
  3. Step 3: Cross multiply
    841,201x = 1,271,837 × 1,271,837
  4. Step 4: Simplify right side
    841,201x = 1,617,569,354,569
  5. Step 5: Solve for x
    x = 1,617,569,354,569/841,201
  6. Step 6: Final answer
    x = 1,922,928.47

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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.