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Finding the Third Proportional to 1,248,993 and 2,947,441.50

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Solution

The third proportional to 1,248,993 and 2,947,441.50 is: 6,955,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,993 : 2,947,441.50 = 2,947,441.50 : x
  2. Step 2: Convert to fraction form
    1,248,993/2,947,441.50 = 2,947,441.50/x
  3. Step 3: Cross multiply
    1,248,993x = 2,947,441.50 × 2,947,441.50
  4. Step 4: Simplify right side
    1,248,993x = 8,687,411,395,922.25
  5. Step 5: Solve for x
    x = 8,687,411,395,922.25/1,248,993
  6. Step 6: Final answer
    x = 6,955,532.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.