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Finding the Third Proportional to 804,462 and 1,180,394

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Solution

The third proportional to 804,462 and 1,180,394 is: 1,732,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,462 : 1,180,394 = 1,180,394 : x
  2. Step 2: Convert to fraction form
    804,462/1,180,394 = 1,180,394/x
  3. Step 3: Cross multiply
    804,462x = 1,180,394 × 1,180,394
  4. Step 4: Simplify right side
    804,462x = 1,393,329,995,236
  5. Step 5: Solve for x
    x = 1,393,329,995,236/804,462
  6. Step 6: Final answer
    x = 1,732,002.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.