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Finding the Third Proportional to 611,200 and 1,445,152

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Solution

The third proportional to 611,200 and 1,445,152 is: 3,416,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,200 : 1,445,152 = 1,445,152 : x
  2. Step 2: Convert to fraction form
    611,200/1,445,152 = 1,445,152/x
  3. Step 3: Cross multiply
    611,200x = 1,445,152 × 1,445,152
  4. Step 4: Simplify right side
    611,200x = 2,088,464,303,104
  5. Step 5: Solve for x
    x = 2,088,464,303,104/611,200
  6. Step 6: Final answer
    x = 3,416,990.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.