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Finding the Third Proportional to 656,458,836 and 1,039,485,942

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Solution

The third proportional to 656,458,836 and 1,039,485,942 is: 1,645,999,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,458,836 : 1,039,485,942 = 1,039,485,942 : x
  2. Step 2: Convert to fraction form
    656,458,836/1,039,485,942 = 1,039,485,942/x
  3. Step 3: Cross multiply
    656,458,836x = 1,039,485,942 × 1,039,485,942
  4. Step 4: Simplify right side
    656,458,836x = 1,080,531,023,615,627,392
  5. Step 5: Solve for x
    x = 1,080,531,023,615,627,392/656,458,836
  6. Step 6: Final answer
    x = 1,645,999,664.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.