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Finding the Third Proportional to 757,714 and 1,176,411

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Solution

The third proportional to 757,714 and 1,176,411 is: 1,826,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,714 : 1,176,411 = 1,176,411 : x
  2. Step 2: Convert to fraction form
    757,714/1,176,411 = 1,176,411/x
  3. Step 3: Cross multiply
    757,714x = 1,176,411 × 1,176,411
  4. Step 4: Simplify right side
    757,714x = 1,383,942,840,921
  5. Step 5: Solve for x
    x = 1,383,942,840,921/757,714
  6. Step 6: Final answer
    x = 1,826,471.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.