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Finding the Third Proportional to 684,307,686 and 988,706,649

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Solution

The third proportional to 684,307,686 and 988,706,649 is: 1,428,510,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,307,686 : 988,706,649 = 988,706,649 : x
  2. Step 2: Convert to fraction form
    684,307,686/988,706,649 = 988,706,649/x
  3. Step 3: Cross multiply
    684,307,686x = 988,706,649 × 988,706,649
  4. Step 4: Simplify right side
    684,307,686x = 977,540,837,776,809,216
  5. Step 5: Solve for x
    x = 977,540,837,776,809,216/684,307,686
  6. Step 6: Final answer
    x = 1,428,510,679.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.