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Finding the Third Proportional to 461,734,323 and 1,015,814,595

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Solution

The third proportional to 461,734,323 and 1,015,814,595 is: 2,234,790,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,734,323 : 1,015,814,595 = 1,015,814,595 : x
  2. Step 2: Convert to fraction form
    461,734,323/1,015,814,595 = 1,015,814,595/x
  3. Step 3: Cross multiply
    461,734,323x = 1,015,814,595 × 1,015,814,595
  4. Step 4: Simplify right side
    461,734,323x = 1,031,879,291,415,014,016
  5. Step 5: Solve for x
    x = 1,031,879,291,415,014,016/461,734,323
  6. Step 6: Final answer
    x = 2,234,790,094.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.