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Finding the Third Proportional to 1,724,145 and 3,746,725.50

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Solution

The third proportional to 1,724,145 and 3,746,725.50 is: 8,141,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,145 : 3,746,725.50 = 3,746,725.50 : x
  2. Step 2: Convert to fraction form
    1,724,145/3,746,725.50 = 3,746,725.50/x
  3. Step 3: Cross multiply
    1,724,145x = 3,746,725.50 × 3,746,725.50
  4. Step 4: Simplify right side
    1,724,145x = 14,037,951,972,350.25
  5. Step 5: Solve for x
    x = 14,037,951,972,350.25/1,724,145
  6. Step 6: Final answer
    x = 8,141,978.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.