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Finding the Third Proportional to 549,007,689 and 1,206,836,610

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Solution

The third proportional to 549,007,689 and 1,206,836,610 is: 2,652,885,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,007,689 : 1,206,836,610 = 1,206,836,610 : x
  2. Step 2: Convert to fraction form
    549,007,689/1,206,836,610 = 1,206,836,610/x
  3. Step 3: Cross multiply
    549,007,689x = 1,206,836,610 × 1,206,836,610
  4. Step 4: Simplify right side
    549,007,689x = 1,456,454,603,236,292,096
  5. Step 5: Solve for x
    x = 1,456,454,603,236,292,096/549,007,689
  6. Step 6: Final answer
    x = 2,652,885,619.67

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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.