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Finding the Third Proportional to 1,843,811.86 and 2,791,432.13

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Solution

The third proportional to 1,843,811.86 and 2,791,432.13 is: 4,226,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,811.86 : 2,791,432.13 = 2,791,432.13 : x
  2. Step 2: Convert to fraction form
    1,843,811.86/2,791,432.13 = 2,791,432.13/x
  3. Step 3: Cross multiply
    1,843,811.86x = 2,791,432.13 × 2,791,432.13
  4. Step 4: Simplify right side
    1,843,811.86x = 7,792,093,308,482.02
  5. Step 5: Solve for x
    x = 7,792,093,308,482.02/1,843,811.86
  6. Step 6: Final answer
    x = 4,226,078.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.