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Finding the Third Proportional to 430,865,883 and 682,370,370

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Solution

The third proportional to 430,865,883 and 682,370,370 is: 1,080,682,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,865,883 : 682,370,370 = 682,370,370 : x
  2. Step 2: Convert to fraction form
    430,865,883/682,370,370 = 682,370,370/x
  3. Step 3: Cross multiply
    430,865,883x = 682,370,370 × 682,370,370
  4. Step 4: Simplify right side
    430,865,883x = 465,629,321,853,936,896
  5. Step 5: Solve for x
    x = 465,629,321,853,936,896/430,865,883
  6. Step 6: Final answer
    x = 1,080,682,737.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.