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Finding the Third Proportional to 536,106 and 1,116,308

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Solution

The third proportional to 536,106 and 1,116,308 is: 2,324,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,106 : 1,116,308 = 1,116,308 : x
  2. Step 2: Convert to fraction form
    536,106/1,116,308 = 1,116,308/x
  3. Step 3: Cross multiply
    536,106x = 1,116,308 × 1,116,308
  4. Step 4: Simplify right side
    536,106x = 1,246,143,550,864
  5. Step 5: Solve for x
    x = 1,246,143,550,864/536,106
  6. Step 6: Final answer
    x = 2,324,435.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.