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Finding the Third Proportional to 445,252,865 and 693,320,913

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Solution

The third proportional to 445,252,865 and 693,320,913 is: 1,079,597,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,252,865 : 693,320,913 = 693,320,913 : x
  2. Step 2: Convert to fraction form
    445,252,865/693,320,913 = 693,320,913/x
  3. Step 3: Cross multiply
    445,252,865x = 693,320,913 × 693,320,913
  4. Step 4: Simplify right side
    445,252,865x = 480,693,888,403,153,600
  5. Step 5: Solve for x
    x = 480,693,888,403,153,600/445,252,865
  6. Step 6: Final answer
    x = 1,079,597,519.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.