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Finding the Third Proportional to 804,590 and 1,192,960

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Solution

The third proportional to 804,590 and 1,192,960 is: 1,768,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,590 : 1,192,960 = 1,192,960 : x
  2. Step 2: Convert to fraction form
    804,590/1,192,960 = 1,192,960/x
  3. Step 3: Cross multiply
    804,590x = 1,192,960 × 1,192,960
  4. Step 4: Simplify right side
    804,590x = 1,423,153,561,600
  5. Step 5: Solve for x
    x = 1,423,153,561,600/804,590
  6. Step 6: Final answer
    x = 1,768,793.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.