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Finding the Third Proportional to 874,348,567 and 1,250,328,733

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Solution

The third proportional to 874,348,567 and 1,250,328,733 is: 1,787,984,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,348,567 : 1,250,328,733 = 1,250,328,733 : x
  2. Step 2: Convert to fraction form
    874,348,567/1,250,328,733 = 1,250,328,733/x
  3. Step 3: Cross multiply
    874,348,567x = 1,250,328,733 × 1,250,328,733
  4. Step 4: Simplify right side
    874,348,567x = 1,563,321,940,565,385,216
  5. Step 5: Solve for x
    x = 1,563,321,940,565,385,216/874,348,567
  6. Step 6: Final answer
    x = 1,787,984,791.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.