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Finding the Third Proportional to 1,228,732,418 and 1,797,114,117

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Solution

The third proportional to 1,228,732,418 and 1,797,114,117 is: 2,628,415,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,732,418 : 1,797,114,117 = 1,797,114,117 : x
  2. Step 2: Convert to fraction form
    1,228,732,418/1,797,114,117 = 1,797,114,117/x
  3. Step 3: Cross multiply
    1,228,732,418x = 1,797,114,117 × 1,797,114,117
  4. Step 4: Simplify right side
    1,228,732,418x = 3,229,619,149,520,689,664
  5. Step 5: Solve for x
    x = 3,229,619,149,520,689,664/1,228,732,418
  6. Step 6: Final answer
    x = 2,628,415,350.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.