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Finding the Third Proportional to 834,043.50 and 1,830,471.75

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Solution

The third proportional to 834,043.50 and 1,830,471.75 is: 4,017,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,043.50 : 1,830,471.75 = 1,830,471.75 : x
  2. Step 2: Convert to fraction form
    834,043.50/1,830,471.75 = 1,830,471.75/x
  3. Step 3: Cross multiply
    834,043.50x = 1,830,471.75 × 1,830,471.75
  4. Step 4: Simplify right side
    834,043.50x = 3,350,626,827,548.06
  5. Step 5: Solve for x
    x = 3,350,626,827,548.06/834,043.50
  6. Step 6: Final answer
    x = 4,017,328.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.