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Finding the Third Proportional to 684,508,140 and 1,494,450,964

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Solution

The third proportional to 684,508,140 and 1,494,450,964 is: 3,262,756,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,508,140 : 1,494,450,964 = 1,494,450,964 : x
  2. Step 2: Convert to fraction form
    684,508,140/1,494,450,964 = 1,494,450,964/x
  3. Step 3: Cross multiply
    684,508,140x = 1,494,450,964 × 1,494,450,964
  4. Step 4: Simplify right side
    684,508,140x = 2,233,383,683,800,529,408
  5. Step 5: Solve for x
    x = 2,233,383,683,800,529,408/684,508,140
  6. Step 6: Final answer
    x = 3,262,756,939.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.