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Finding the Third Proportional to 493,431,678 and 1,097,157,490

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Solution

The third proportional to 493,431,678 and 1,097,157,490 is: 2,439,556,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,431,678 : 1,097,157,490 = 1,097,157,490 : x
  2. Step 2: Convert to fraction form
    493,431,678/1,097,157,490 = 1,097,157,490/x
  3. Step 3: Cross multiply
    493,431,678x = 1,097,157,490 × 1,097,157,490
  4. Step 4: Simplify right side
    493,431,678x = 1,203,754,557,863,100,160
  5. Step 5: Solve for x
    x = 1,203,754,557,863,100,160/493,431,678
  6. Step 6: Final answer
    x = 2,439,556,703.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.