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Finding the Third Proportional to 2,925,740.25 and 3,883,200.75

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Solution

The third proportional to 2,925,740.25 and 3,883,200.75 is: 5,153,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925,740.25 : 3,883,200.75 = 3,883,200.75 : x
  2. Step 2: Convert to fraction form
    2,925,740.25/3,883,200.75 = 3,883,200.75/x
  3. Step 3: Cross multiply
    2,925,740.25x = 3,883,200.75 × 3,883,200.75
  4. Step 4: Simplify right side
    2,925,740.25x = 15,079,248,064,800.56
  5. Step 5: Solve for x
    x = 15,079,248,064,800.56/2,925,740.25
  6. Step 6: Final answer
    x = 5,153,994.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.