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Finding the Third Proportional to 453,144,512 and 699,734,429

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Solution

The third proportional to 453,144,512 and 699,734,429 is: 1,080,512,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,144,512 : 699,734,429 = 699,734,429 : x
  2. Step 2: Convert to fraction form
    453,144,512/699,734,429 = 699,734,429/x
  3. Step 3: Cross multiply
    453,144,512x = 699,734,429 × 699,734,429
  4. Step 4: Simplify right side
    453,144,512x = 489,628,271,127,956,032
  5. Step 5: Solve for x
    x = 489,628,271,127,956,032/453,144,512
  6. Step 6: Final answer
    x = 1,080,512,415.27

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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.