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Finding the Third Proportional to 851,178 and 1,264,708.50

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Solution

The third proportional to 851,178 and 1,264,708.50 is: 1,879,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,178 : 1,264,708.50 = 1,264,708.50 : x
  2. Step 2: Convert to fraction form
    851,178/1,264,708.50 = 1,264,708.50/x
  3. Step 3: Cross multiply
    851,178x = 1,264,708.50 × 1,264,708.50
  4. Step 4: Simplify right side
    851,178x = 1,599,487,589,972.25
  5. Step 5: Solve for x
    x = 1,599,487,589,972.25/851,178
  6. Step 6: Final answer
    x = 1,879,145.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.