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Finding the Third Proportional to 805,101 and 1,203,519

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Solution

The third proportional to 805,101 and 1,203,519 is: 1,799,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,101 : 1,203,519 = 1,203,519 : x
  2. Step 2: Convert to fraction form
    805,101/1,203,519 = 1,203,519/x
  3. Step 3: Cross multiply
    805,101x = 1,203,519 × 1,203,519
  4. Step 4: Simplify right side
    805,101x = 1,448,457,983,361
  5. Step 5: Solve for x
    x = 1,448,457,983,361/805,101
  6. Step 6: Final answer
    x = 1,799,100.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.