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Finding the Third Proportional to 746,788,940 and 1,078,888,164

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Solution

The third proportional to 746,788,940 and 1,078,888,164 is: 1,558,672,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,788,940 : 1,078,888,164 = 1,078,888,164 : x
  2. Step 2: Convert to fraction form
    746,788,940/1,078,888,164 = 1,078,888,164/x
  3. Step 3: Cross multiply
    746,788,940x = 1,078,888,164 × 1,078,888,164
  4. Step 4: Simplify right side
    746,788,940x = 1,163,999,670,419,290,880
  5. Step 5: Solve for x
    x = 1,163,999,670,419,290,880/746,788,940
  6. Step 6: Final answer
    x = 1,558,672,883.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.