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Finding the Third Proportional to 563,467 and 1,252,915

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Solution

The third proportional to 563,467 and 1,252,915 is: 2,785,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,467 : 1,252,915 = 1,252,915 : x
  2. Step 2: Convert to fraction form
    563,467/1,252,915 = 1,252,915/x
  3. Step 3: Cross multiply
    563,467x = 1,252,915 × 1,252,915
  4. Step 4: Simplify right side
    563,467x = 1,569,795,997,225
  5. Step 5: Solve for x
    x = 1,569,795,997,225/563,467
  6. Step 6: Final answer
    x = 2,785,959.07

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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.