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Finding the Third Proportional to 703,900,857 and 1,064,911,036.50

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Solution

The third proportional to 703,900,857 and 1,064,911,036.50 is: 1,611,072,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,900,857 : 1,064,911,036.50 = 1,064,911,036.50 : x
  2. Step 2: Convert to fraction form
    703,900,857/1,064,911,036.50 = 1,064,911,036.50/x
  3. Step 3: Cross multiply
    703,900,857x = 1,064,911,036.50 × 1,064,911,036.50
  4. Step 4: Simplify right side
    703,900,857x = 1,134,035,515,659,504,384
  5. Step 5: Solve for x
    x = 1,134,035,515,659,504,384/703,900,857
  6. Step 6: Final answer
    x = 1,611,072,787.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.