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Finding the Third Proportional to 1,525,824 and 2,363,904

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Solution

The third proportional to 1,525,824 and 2,363,904 is: 3,662,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,824 : 2,363,904 = 2,363,904 : x
  2. Step 2: Convert to fraction form
    1,525,824/2,363,904 = 2,363,904/x
  3. Step 3: Cross multiply
    1,525,824x = 2,363,904 × 2,363,904
  4. Step 4: Simplify right side
    1,525,824x = 5,588,042,121,216
  5. Step 5: Solve for x
    x = 5,588,042,121,216/1,525,824
  6. Step 6: Final answer
    x = 3,662,311.07

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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.