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Finding the Third Proportional to 540,024 and 1,273,141.50

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Solution

The third proportional to 540,024 and 1,273,141.50 is: 3,001,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,024 : 1,273,141.50 = 1,273,141.50 : x
  2. Step 2: Convert to fraction form
    540,024/1,273,141.50 = 1,273,141.50/x
  3. Step 3: Cross multiply
    540,024x = 1,273,141.50 × 1,273,141.50
  4. Step 4: Simplify right side
    540,024x = 1,620,889,279,022.25
  5. Step 5: Solve for x
    x = 1,620,889,279,022.25/540,024
  6. Step 6: Final answer
    x = 3,001,513.41

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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.