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Finding the Third Proportional to 1,507,531.50 and 3,280,761

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Solution

The third proportional to 1,507,531.50 and 3,280,761 is: 7,139,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507,531.50 : 3,280,761 = 3,280,761 : x
  2. Step 2: Convert to fraction form
    1,507,531.50/3,280,761 = 3,280,761/x
  3. Step 3: Cross multiply
    1,507,531.50x = 3,280,761 × 3,280,761
  4. Step 4: Simplify right side
    1,507,531.50x = 10,763,392,739,121
  5. Step 5: Solve for x
    x = 10,763,392,739,121/1,507,531.50
  6. Step 6: Final answer
    x = 7,139,746.49

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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.