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Finding the Third Proportional to 1,784,649 and 2,718,787.50

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Solution

The third proportional to 1,784,649 and 2,718,787.50 is: 4,141,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,649 : 2,718,787.50 = 2,718,787.50 : x
  2. Step 2: Convert to fraction form
    1,784,649/2,718,787.50 = 2,718,787.50/x
  3. Step 3: Cross multiply
    1,784,649x = 2,718,787.50 × 2,718,787.50
  4. Step 4: Simplify right side
    1,784,649x = 7,391,805,470,156.25
  5. Step 5: Solve for x
    x = 7,391,805,470,156.25/1,784,649
  6. Step 6: Final answer
    x = 4,141,881.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.