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Finding the Third Proportional to 563,256 and 1,173,105

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Solution

The third proportional to 563,256 and 1,173,105 is: 2,443,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,256 : 1,173,105 = 1,173,105 : x
  2. Step 2: Convert to fraction form
    563,256/1,173,105 = 1,173,105/x
  3. Step 3: Cross multiply
    563,256x = 1,173,105 × 1,173,105
  4. Step 4: Simplify right side
    563,256x = 1,376,175,341,025
  5. Step 5: Solve for x
    x = 1,376,175,341,025/563,256
  6. Step 6: Final answer
    x = 2,443,250.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.