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Finding the Third Proportional to 1,077,827.50 and 1,498,623

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Solution

The third proportional to 1,077,827.50 and 1,498,623 is: 2,083,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,827.50 : 1,498,623 = 1,498,623 : x
  2. Step 2: Convert to fraction form
    1,077,827.50/1,498,623 = 1,498,623/x
  3. Step 3: Cross multiply
    1,077,827.50x = 1,498,623 × 1,498,623
  4. Step 4: Simplify right side
    1,077,827.50x = 2,245,870,896,129
  5. Step 5: Solve for x
    x = 2,245,870,896,129/1,077,827.50
  6. Step 6: Final answer
    x = 2,083,701.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.