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Finding the Third Proportional to 802,192 and 1,203,459

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Solution

The third proportional to 802,192 and 1,203,459 is: 1,805,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,192 : 1,203,459 = 1,203,459 : x
  2. Step 2: Convert to fraction form
    802,192/1,203,459 = 1,203,459/x
  3. Step 3: Cross multiply
    802,192x = 1,203,459 × 1,203,459
  4. Step 4: Simplify right side
    802,192x = 1,448,313,564,681
  5. Step 5: Solve for x
    x = 1,448,313,564,681/802,192
  6. Step 6: Final answer
    x = 1,805,445.04

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Why These Related Problems?

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