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Finding the Third Proportional to 936,879,497 and 1,455,354,749

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Solution

The third proportional to 936,879,497 and 1,455,354,749 is: 2,260,757,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,879,497 : 1,455,354,749 = 1,455,354,749 : x
  2. Step 2: Convert to fraction form
    936,879,497/1,455,354,749 = 1,455,354,749/x
  3. Step 3: Cross multiply
    936,879,497x = 1,455,354,749 × 1,455,354,749
  4. Step 4: Simplify right side
    936,879,497x = 2,118,057,445,436,852,992
  5. Step 5: Solve for x
    x = 2,118,057,445,436,852,992/936,879,497
  6. Step 6: Final answer
    x = 2,260,757,602.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.