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Finding the Third Proportional to 563,152 and 1,214,322

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Solution

The third proportional to 563,152 and 1,214,322 is: 2,618,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,152 : 1,214,322 = 1,214,322 : x
  2. Step 2: Convert to fraction form
    563,152/1,214,322 = 1,214,322/x
  3. Step 3: Cross multiply
    563,152x = 1,214,322 × 1,214,322
  4. Step 4: Simplify right side
    563,152x = 1,474,577,919,684
  5. Step 5: Solve for x
    x = 1,474,577,919,684/563,152
  6. Step 6: Final answer
    x = 2,618,436.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.