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Finding the Third Proportional to 2,571,563.50 and 3,502,590

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Solution

The third proportional to 2,571,563.50 and 3,502,590 is: 4,770,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571,563.50 : 3,502,590 = 3,502,590 : x
  2. Step 2: Convert to fraction form
    2,571,563.50/3,502,590 = 3,502,590/x
  3. Step 3: Cross multiply
    2,571,563.50x = 3,502,590 × 3,502,590
  4. Step 4: Simplify right side
    2,571,563.50x = 12,268,136,708,100
  5. Step 5: Solve for x
    x = 12,268,136,708,100/2,571,563.50
  6. Step 6: Final answer
    x = 4,770,691.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.