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Finding the Third Proportional to 703,322,730 and 1,033,911,063

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Solution

The third proportional to 703,322,730 and 1,033,911,063 is: 1,519,888,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,322,730 : 1,033,911,063 = 1,033,911,063 : x
  2. Step 2: Convert to fraction form
    703,322,730/1,033,911,063 = 1,033,911,063/x
  3. Step 3: Cross multiply
    703,322,730x = 1,033,911,063 × 1,033,911,063
  4. Step 4: Simplify right side
    703,322,730x = 1,068,972,086,193,789,952
  5. Step 5: Solve for x
    x = 1,068,972,086,193,789,952/703,322,730
  6. Step 6: Final answer
    x = 1,519,888,438.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.