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Finding the Third Proportional to 897,451,676 and 1,378,595,178

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Solution

The third proportional to 897,451,676 and 1,378,595,178 is: 2,117,690,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,451,676 : 1,378,595,178 = 1,378,595,178 : x
  2. Step 2: Convert to fraction form
    897,451,676/1,378,595,178 = 1,378,595,178/x
  3. Step 3: Cross multiply
    897,451,676x = 1,378,595,178 × 1,378,595,178
  4. Step 4: Simplify right side
    897,451,676x = 1,900,524,664,804,851,712
  5. Step 5: Solve for x
    x = 1,900,524,664,804,851,712/897,451,676
  6. Step 6: Final answer
    x = 2,117,690,250.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.