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Finding the Third Proportional to 453,037,643 and 699,584,763

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Solution

The third proportional to 453,037,643 and 699,584,763 is: 1,080,305,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,037,643 : 699,584,763 = 699,584,763 : x
  2. Step 2: Convert to fraction form
    453,037,643/699,584,763 = 699,584,763/x
  3. Step 3: Cross multiply
    453,037,643x = 699,584,763 × 699,584,763
  4. Step 4: Simplify right side
    453,037,643x = 489,418,840,621,766,144
  5. Step 5: Solve for x
    x = 489,418,840,621,766,144/453,037,643
  6. Step 6: Final answer
    x = 1,080,305,021.41

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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.