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Finding the Third Proportional to 2,125,399.50 and 2,470,884.75

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Solution

The third proportional to 2,125,399.50 and 2,470,884.75 is: 2,872,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,399.50 : 2,470,884.75 = 2,470,884.75 : x
  2. Step 2: Convert to fraction form
    2,125,399.50/2,470,884.75 = 2,470,884.75/x
  3. Step 3: Cross multiply
    2,125,399.50x = 2,470,884.75 × 2,470,884.75
  4. Step 4: Simplify right side
    2,125,399.50x = 6,105,271,447,782.56
  5. Step 5: Solve for x
    x = 6,105,271,447,782.56/2,125,399.50
  6. Step 6: Final answer
    x = 2,872,528.88

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.