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Finding the Third Proportional to 1,269,258 and 2,643,490.50

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Solution

The third proportional to 1,269,258 and 2,643,490.50 is: 5,505,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,258 : 2,643,490.50 = 2,643,490.50 : x
  2. Step 2: Convert to fraction form
    1,269,258/2,643,490.50 = 2,643,490.50/x
  3. Step 3: Cross multiply
    1,269,258x = 2,643,490.50 × 2,643,490.50
  4. Step 4: Simplify right side
    1,269,258x = 6,988,042,023,590.25
  5. Step 5: Solve for x
    x = 6,988,042,023,590.25/1,269,258
  6. Step 6: Final answer
    x = 5,505,611.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.