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Finding the Third Proportional to 757,824 and 1,167,840

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Solution

The third proportional to 757,824 and 1,167,840 is: 1,799,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,824 : 1,167,840 = 1,167,840 : x
  2. Step 2: Convert to fraction form
    757,824/1,167,840 = 1,167,840/x
  3. Step 3: Cross multiply
    757,824x = 1,167,840 × 1,167,840
  4. Step 4: Simplify right side
    757,824x = 1,363,850,265,600
  5. Step 5: Solve for x
    x = 1,363,850,265,600/757,824
  6. Step 6: Final answer
    x = 1,799,692.63

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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.