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Finding the Third Proportional to 1,840,360.50 and 4,010,787.14

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Solution

The third proportional to 1,840,360.50 and 4,010,787.14 is: 8,740,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,360.50 : 4,010,787.14 = 4,010,787.14 : x
  2. Step 2: Convert to fraction form
    1,840,360.50/4,010,787.14 = 4,010,787.14/x
  3. Step 3: Cross multiply
    1,840,360.50x = 4,010,787.14 × 4,010,787.14
  4. Step 4: Simplify right side
    1,840,360.50x = 16,086,413,487,402.86
  5. Step 5: Solve for x
    x = 16,086,413,487,402.86/1,840,360.50
  6. Step 6: Final answer
    x = 8,740,903.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.