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Finding the Third Proportional to 491,013 and 1,056,728.25

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Solution

The third proportional to 491,013 and 1,056,728.25 is: 2,274,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,013 : 1,056,728.25 = 1,056,728.25 : x
  2. Step 2: Convert to fraction form
    491,013/1,056,728.25 = 1,056,728.25/x
  3. Step 3: Cross multiply
    491,013x = 1,056,728.25 × 1,056,728.25
  4. Step 4: Simplify right side
    491,013x = 1,116,674,594,348.06
  5. Step 5: Solve for x
    x = 1,116,674,594,348.06/491,013
  6. Step 6: Final answer
    x = 2,274,226.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.