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Finding the Third Proportional to 841,198.50 and 1,271,835

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Solution

The third proportional to 841,198.50 and 1,271,835 is: 1,922,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,198.50 : 1,271,835 = 1,271,835 : x
  2. Step 2: Convert to fraction form
    841,198.50/1,271,835 = 1,271,835/x
  3. Step 3: Cross multiply
    841,198.50x = 1,271,835 × 1,271,835
  4. Step 4: Simplify right side
    841,198.50x = 1,617,564,267,225
  5. Step 5: Solve for x
    x = 1,617,564,267,225/841,198.50
  6. Step 6: Final answer
    x = 1,922,928.14

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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.