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Finding the Third Proportional to 751,824 and 1,163,352

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Solution

The third proportional to 751,824 and 1,163,352 is: 1,800,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,824 : 1,163,352 = 1,163,352 : x
  2. Step 2: Convert to fraction form
    751,824/1,163,352 = 1,163,352/x
  3. Step 3: Cross multiply
    751,824x = 1,163,352 × 1,163,352
  4. Step 4: Simplify right side
    751,824x = 1,353,387,875,904
  5. Step 5: Solve for x
    x = 1,353,387,875,904/751,824
  6. Step 6: Final answer
    x = 1,800,139.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.