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Finding the Third Proportional to 1,006,165,620 and 1,599,948,990

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Solution

The third proportional to 1,006,165,620 and 1,599,948,990 is: 2,544,150,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,165,620 : 1,599,948,990 = 1,599,948,990 : x
  2. Step 2: Convert to fraction form
    1,006,165,620/1,599,948,990 = 1,599,948,990/x
  3. Step 3: Cross multiply
    1,006,165,620x = 1,599,948,990 × 1,599,948,990
  4. Step 4: Simplify right side
    1,006,165,620x = 2,559,836,770,602,020,352
  5. Step 5: Solve for x
    x = 2,559,836,770,602,020,352/1,006,165,620
  6. Step 6: Final answer
    x = 2,544,150,505.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.