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Finding the Third Proportional to 563,116 and 1,214,252

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Solution

The third proportional to 563,116 and 1,214,252 is: 2,618,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,116 : 1,214,252 = 1,214,252 : x
  2. Step 2: Convert to fraction form
    563,116/1,214,252 = 1,214,252/x
  3. Step 3: Cross multiply
    563,116x = 1,214,252 × 1,214,252
  4. Step 4: Simplify right side
    563,116x = 1,474,407,919,504
  5. Step 5: Solve for x
    x = 1,474,407,919,504/563,116
  6. Step 6: Final answer
    x = 2,618,302.30

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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.