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Finding the Third Proportional to 677,340 and 1,492,906.50

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Solution

The third proportional to 677,340 and 1,492,906.50 is: 3,290,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,340 : 1,492,906.50 = 1,492,906.50 : x
  2. Step 2: Convert to fraction form
    677,340/1,492,906.50 = 1,492,906.50/x
  3. Step 3: Cross multiply
    677,340x = 1,492,906.50 × 1,492,906.50
  4. Step 4: Simplify right side
    677,340x = 2,228,769,817,742.25
  5. Step 5: Solve for x
    x = 2,228,769,817,742.25/677,340
  6. Step 6: Final answer
    x = 3,290,474.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.