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Finding the Third Proportional to 563,456 and 1,252,894

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Solution

The third proportional to 563,456 and 1,252,894 is: 2,785,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,456 : 1,252,894 = 1,252,894 : x
  2. Step 2: Convert to fraction form
    563,456/1,252,894 = 1,252,894/x
  3. Step 3: Cross multiply
    563,456x = 1,252,894 × 1,252,894
  4. Step 4: Simplify right side
    563,456x = 1,569,743,375,236
  5. Step 5: Solve for x
    x = 1,569,743,375,236/563,456
  6. Step 6: Final answer
    x = 2,785,920.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.