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Finding the Third Proportional to 803,949 and 1,724,496

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Solution

The third proportional to 803,949 and 1,724,496 is: 3,699,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,949 : 1,724,496 = 1,724,496 : x
  2. Step 2: Convert to fraction form
    803,949/1,724,496 = 1,724,496/x
  3. Step 3: Cross multiply
    803,949x = 1,724,496 × 1,724,496
  4. Step 4: Simplify right side
    803,949x = 2,973,886,454,016
  5. Step 5: Solve for x
    x = 2,973,886,454,016/803,949
  6. Step 6: Final answer
    x = 3,699,098.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.