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Finding the Third Proportional to 1,040,190,860 and 1,426,354,401

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Solution

The third proportional to 1,040,190,860 and 1,426,354,401 is: 1,955,878,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,190,860 : 1,426,354,401 = 1,426,354,401 : x
  2. Step 2: Convert to fraction form
    1,040,190,860/1,426,354,401 = 1,426,354,401/x
  3. Step 3: Cross multiply
    1,040,190,860x = 1,426,354,401 × 1,426,354,401
  4. Step 4: Simplify right side
    1,040,190,860x = 2,034,486,877,252,068,864
  5. Step 5: Solve for x
    x = 2,034,486,877,252,068,864/1,040,190,860
  6. Step 6: Final answer
    x = 1,955,878,440.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.