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Finding the Third Proportional to 822,848.50 and 1,091,832

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Solution

The third proportional to 822,848.50 and 1,091,832 is: 1,448,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,848.50 : 1,091,832 = 1,091,832 : x
  2. Step 2: Convert to fraction form
    822,848.50/1,091,832 = 1,091,832/x
  3. Step 3: Cross multiply
    822,848.50x = 1,091,832 × 1,091,832
  4. Step 4: Simplify right side
    822,848.50x = 1,192,097,116,224
  5. Step 5: Solve for x
    x = 1,192,097,116,224/822,848.50
  6. Step 6: Final answer
    x = 1,448,744.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.