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Finding the Third Proportional to 820,084.50 and 1,154,346.19

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Solution

The third proportional to 820,084.50 and 1,154,346.19 is: 1,624,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,084.50 : 1,154,346.19 = 1,154,346.19 : x
  2. Step 2: Convert to fraction form
    820,084.50/1,154,346.19 = 1,154,346.19/x
  3. Step 3: Cross multiply
    820,084.50x = 1,154,346.19 × 1,154,346.19
  4. Step 4: Simplify right side
    820,084.50x = 1,332,515,120,595.79
  5. Step 5: Solve for x
    x = 1,332,515,120,595.79/820,084.50
  6. Step 6: Final answer
    x = 1,624,851.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.