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Finding the Third Proportional to 803,821.50 and 1,091,612.25

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Solution

The third proportional to 803,821.50 and 1,091,612.25 is: 1,482,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,821.50 : 1,091,612.25 = 1,091,612.25 : x
  2. Step 2: Convert to fraction form
    803,821.50/1,091,612.25 = 1,091,612.25/x
  3. Step 3: Cross multiply
    803,821.50x = 1,091,612.25 × 1,091,612.25
  4. Step 4: Simplify right side
    803,821.50x = 1,191,617,304,350.06
  5. Step 5: Solve for x
    x = 1,191,617,304,350.06/803,821.50
  6. Step 6: Final answer
    x = 1,482,440.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.