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Finding the Third Proportional to 453,144,564 and 699,734,467

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Solution

The third proportional to 453,144,564 and 699,734,467 is: 1,080,512,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,144,564 : 699,734,467 = 699,734,467 : x
  2. Step 2: Convert to fraction form
    453,144,564/699,734,467 = 699,734,467/x
  3. Step 3: Cross multiply
    453,144,564x = 699,734,467 × 699,734,467
  4. Step 4: Simplify right side
    453,144,564x = 489,628,324,307,774,080
  5. Step 5: Solve for x
    x = 489,628,324,307,774,080/453,144,564
  6. Step 6: Final answer
    x = 1,080,512,408.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.