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Finding the Third Proportional to 461,734,314 and 1,015,814,578.50

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Solution

The third proportional to 461,734,314 and 1,015,814,578.50 is: 2,234,790,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,734,314 : 1,015,814,578.50 = 1,015,814,578.50 : x
  2. Step 2: Convert to fraction form
    461,734,314/1,015,814,578.50 = 1,015,814,578.50/x
  3. Step 3: Cross multiply
    461,734,314x = 1,015,814,578.50 × 1,015,814,578.50
  4. Step 4: Simplify right side
    461,734,314x = 1,031,879,257,893,132,672
  5. Step 5: Solve for x
    x = 1,031,879,257,893,132,672/461,734,314
  6. Step 6: Final answer
    x = 2,234,790,065.64

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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.