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Finding the Third Proportional to 803,419 and 1,101,663

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Solution

The third proportional to 803,419 and 1,101,663 is: 1,510,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,419 : 1,101,663 = 1,101,663 : x
  2. Step 2: Convert to fraction form
    803,419/1,101,663 = 1,101,663/x
  3. Step 3: Cross multiply
    803,419x = 1,101,663 × 1,101,663
  4. Step 4: Simplify right side
    803,419x = 1,213,661,365,569
  5. Step 5: Solve for x
    x = 1,213,661,365,569/803,419
  6. Step 6: Final answer
    x = 1,510,620.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.