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Finding the Third Proportional to 857,226 and 1,175,491

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Solution

The third proportional to 857,226 and 1,175,491 is: 1,611,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,226 : 1,175,491 = 1,175,491 : x
  2. Step 2: Convert to fraction form
    857,226/1,175,491 = 1,175,491/x
  3. Step 3: Cross multiply
    857,226x = 1,175,491 × 1,175,491
  4. Step 4: Simplify right side
    857,226x = 1,381,779,091,081
  5. Step 5: Solve for x
    x = 1,381,779,091,081/857,226
  6. Step 6: Final answer
    x = 1,611,919.25

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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.