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Finding the Third Proportional to 1,619,731.69 and 3,544,549.88

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Solution

The third proportional to 1,619,731.69 and 3,544,549.88 is: 7,756,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,731.69 : 3,544,549.88 = 3,544,549.88 : x
  2. Step 2: Convert to fraction form
    1,619,731.69/3,544,549.88 = 3,544,549.88/x
  3. Step 3: Cross multiply
    1,619,731.69x = 3,544,549.88 × 3,544,549.88
  4. Step 4: Simplify right side
    1,619,731.69x = 12,563,833,816,362.52
  5. Step 5: Solve for x
    x = 12,563,833,816,362.52/1,619,731.69
  6. Step 6: Final answer
    x = 7,756,737.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.