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Finding the Third Proportional to 1,509,052.50 and 2,355,431.25

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Solution

The third proportional to 1,509,052.50 and 2,355,431.25 is: 3,676,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,052.50 : 2,355,431.25 = 2,355,431.25 : x
  2. Step 2: Convert to fraction form
    1,509,052.50/2,355,431.25 = 2,355,431.25/x
  3. Step 3: Cross multiply
    1,509,052.50x = 2,355,431.25 × 2,355,431.25
  4. Step 4: Simplify right side
    1,509,052.50x = 5,548,056,373,476.56
  5. Step 5: Solve for x
    x = 5,548,056,373,476.56/1,509,052.50
  6. Step 6: Final answer
    x = 3,676,516.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.