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Finding the Third Proportional to 563,148 and 1,135,512

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Solution

The third proportional to 563,148 and 1,135,512 is: 2,289,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,148 : 1,135,512 = 1,135,512 : x
  2. Step 2: Convert to fraction form
    563,148/1,135,512 = 1,135,512/x
  3. Step 3: Cross multiply
    563,148x = 1,135,512 × 1,135,512
  4. Step 4: Simplify right side
    563,148x = 1,289,387,502,144
  5. Step 5: Solve for x
    x = 1,289,387,502,144/563,148
  6. Step 6: Final answer
    x = 2,289,606.82

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.