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Finding the Third Proportional to 563,544 and 1,328,955

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Solution

The third proportional to 563,544 and 1,328,955 is: 3,133,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,544 : 1,328,955 = 1,328,955 : x
  2. Step 2: Convert to fraction form
    563,544/1,328,955 = 1,328,955/x
  3. Step 3: Cross multiply
    563,544x = 1,328,955 × 1,328,955
  4. Step 4: Simplify right side
    563,544x = 1,766,121,392,025
  5. Step 5: Solve for x
    x = 1,766,121,392,025/563,544
  6. Step 6: Final answer
    x = 3,133,954.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.