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Finding the Third Proportional to 563,276 and 1,252,494

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Solution

The third proportional to 563,276 and 1,252,494 is: 2,785,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,276 : 1,252,494 = 1,252,494 : x
  2. Step 2: Convert to fraction form
    563,276/1,252,494 = 1,252,494/x
  3. Step 3: Cross multiply
    563,276x = 1,252,494 × 1,252,494
  4. Step 4: Simplify right side
    563,276x = 1,568,741,220,036
  5. Step 5: Solve for x
    x = 1,568,741,220,036/563,276
  6. Step 6: Final answer
    x = 2,785,031.17

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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.