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Finding the Third Proportional to 689,853,732 and 1,034,527,230

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Solution

The third proportional to 689,853,732 and 1,034,527,230 is: 1,551,410,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,853,732 : 1,034,527,230 = 1,034,527,230 : x
  2. Step 2: Convert to fraction form
    689,853,732/1,034,527,230 = 1,034,527,230/x
  3. Step 3: Cross multiply
    689,853,732x = 1,034,527,230 × 1,034,527,230
  4. Step 4: Simplify right side
    689,853,732x = 1,070,246,589,611,472,896
  5. Step 5: Solve for x
    x = 1,070,246,589,611,472,896/689,853,732
  6. Step 6: Final answer
    x = 1,551,410,886.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.