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Finding the Third Proportional to 983,677.50 and 2,118,244.50

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Solution

The third proportional to 983,677.50 and 2,118,244.50 is: 4,561,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,677.50 : 2,118,244.50 = 2,118,244.50 : x
  2. Step 2: Convert to fraction form
    983,677.50/2,118,244.50 = 2,118,244.50/x
  3. Step 3: Cross multiply
    983,677.50x = 2,118,244.50 × 2,118,244.50
  4. Step 4: Simplify right side
    983,677.50x = 4,486,959,761,780.25
  5. Step 5: Solve for x
    x = 4,486,959,761,780.25/983,677.50
  6. Step 6: Final answer
    x = 4,561,413.43

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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.