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Finding the Third Proportional to 295,260,074 and 689,860,757

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Solution

The third proportional to 295,260,074 and 689,860,757 is: 1,611,826,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,260,074 : 689,860,757 = 689,860,757 : x
  2. Step 2: Convert to fraction form
    295,260,074/689,860,757 = 689,860,757/x
  3. Step 3: Cross multiply
    295,260,074x = 689,860,757 × 689,860,757
  4. Step 4: Simplify right side
    295,260,074x = 475,907,864,048,613,056
  5. Step 5: Solve for x
    x = 475,907,864,048,613,056/295,260,074
  6. Step 6: Final answer
    x = 1,611,826,000.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.