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Finding the Third Proportional to 787,202 and 1,253,205

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Solution

The third proportional to 787,202 and 1,253,205 is: 1,995,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,202 : 1,253,205 = 1,253,205 : x
  2. Step 2: Convert to fraction form
    787,202/1,253,205 = 1,253,205/x
  3. Step 3: Cross multiply
    787,202x = 1,253,205 × 1,253,205
  4. Step 4: Simplify right side
    787,202x = 1,570,522,772,025
  5. Step 5: Solve for x
    x = 1,570,522,772,025/787,202
  6. Step 6: Final answer
    x = 1,995,069.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.