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Finding the Third Proportional to 498,211,647.75 and 1,070,359,503.75

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Solution

The third proportional to 498,211,647.75 and 1,070,359,503.75 is: 2,299,563,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,211,647.75 : 1,070,359,503.75 = 1,070,359,503.75 : x
  2. Step 2: Convert to fraction form
    498,211,647.75/1,070,359,503.75 = 1,070,359,503.75/x
  3. Step 3: Cross multiply
    498,211,647.75x = 1,070,359,503.75 × 1,070,359,503.75
  4. Step 4: Simplify right side
    498,211,647.75x = 1,145,669,467,267,946,240
  5. Step 5: Solve for x
    x = 1,145,669,467,267,946,240/498,211,647.75
  6. Step 6: Final answer
    x = 2,299,563,794.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.