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Finding the Third Proportional to 802,196 and 1,203,468

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Solution

The third proportional to 802,196 and 1,203,468 is: 1,805,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,196 : 1,203,468 = 1,203,468 : x
  2. Step 2: Convert to fraction form
    802,196/1,203,468 = 1,203,468/x
  3. Step 3: Cross multiply
    802,196x = 1,203,468 × 1,203,468
  4. Step 4: Simplify right side
    802,196x = 1,448,335,227,024
  5. Step 5: Solve for x
    x = 1,448,335,227,024/802,196
  6. Step 6: Final answer
    x = 1,805,463.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.