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Finding the Third Proportional to 2,501,269.50 and 5,120,475

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Solution

The third proportional to 2,501,269.50 and 5,120,475 is: 10,482,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501,269.50 : 5,120,475 = 5,120,475 : x
  2. Step 2: Convert to fraction form
    2,501,269.50/5,120,475 = 5,120,475/x
  3. Step 3: Cross multiply
    2,501,269.50x = 5,120,475 × 5,120,475
  4. Step 4: Simplify right side
    2,501,269.50x = 26,219,264,225,625
  5. Step 5: Solve for x
    x = 26,219,264,225,625/2,501,269.50
  6. Step 6: Final answer
    x = 10,482,382.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.