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Finding the Third Proportional to 819,528.50 and 1,244,057

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Solution

The third proportional to 819,528.50 and 1,244,057 is: 1,888,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,528.50 : 1,244,057 = 1,244,057 : x
  2. Step 2: Convert to fraction form
    819,528.50/1,244,057 = 1,244,057/x
  3. Step 3: Cross multiply
    819,528.50x = 1,244,057 × 1,244,057
  4. Step 4: Simplify right side
    819,528.50x = 1,547,677,819,249
  5. Step 5: Solve for x
    x = 1,547,677,819,249/819,528.50
  6. Step 6: Final answer
    x = 1,888,497.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.