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Finding the Third Proportional to 2,583,425 and 4,253,880.50

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Solution

The third proportional to 2,583,425 and 4,253,880.50 is: 7,004,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,425 : 4,253,880.50 = 4,253,880.50 : x
  2. Step 2: Convert to fraction form
    2,583,425/4,253,880.50 = 4,253,880.50/x
  3. Step 3: Cross multiply
    2,583,425x = 4,253,880.50 × 4,253,880.50
  4. Step 4: Simplify right side
    2,583,425x = 18,095,499,308,280.25
  5. Step 5: Solve for x
    x = 18,095,499,308,280.25/2,583,425
  6. Step 6: Final answer
    x = 7,004,460.86

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.