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Finding the Third Proportional to 1,407,490.88 and 3,075,512.44

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Solution

The third proportional to 1,407,490.88 and 3,075,512.44 is: 6,720,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,490.88 : 3,075,512.44 = 3,075,512.44 : x
  2. Step 2: Convert to fraction form
    1,407,490.88/3,075,512.44 = 3,075,512.44/x
  3. Step 3: Cross multiply
    1,407,490.88x = 3,075,512.44 × 3,075,512.44
  4. Step 4: Simplify right side
    1,407,490.88x = 9,458,776,753,217.19
  5. Step 5: Solve for x
    x = 9,458,776,753,217.19/1,407,490.88
  6. Step 6: Final answer
    x = 6,720,311.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.