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Finding the Third Proportional to 448,725,834 and 689,297,583

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Solution

The third proportional to 448,725,834 and 689,297,583 is: 1,058,845,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,725,834 : 689,297,583 = 689,297,583 : x
  2. Step 2: Convert to fraction form
    448,725,834/689,297,583 = 689,297,583/x
  3. Step 3: Cross multiply
    448,725,834x = 689,297,583 × 689,297,583
  4. Step 4: Simplify right side
    448,725,834x = 475,131,157,929,641,920
  5. Step 5: Solve for x
    x = 475,131,157,929,641,920/448,725,834
  6. Step 6: Final answer
    x = 1,058,845,116.39

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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.