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Finding the Third Proportional to 804,240 and 1,225,232

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Solution

The third proportional to 804,240 and 1,225,232 is: 1,866,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,240 : 1,225,232 = 1,225,232 : x
  2. Step 2: Convert to fraction form
    804,240/1,225,232 = 1,225,232/x
  3. Step 3: Cross multiply
    804,240x = 1,225,232 × 1,225,232
  4. Step 4: Simplify right side
    804,240x = 1,501,193,453,824
  5. Step 5: Solve for x
    x = 1,501,193,453,824/804,240
  6. Step 6: Final answer
    x = 1,866,598.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.