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Finding the Third Proportional to 1,646,272.50 and 2,457,015

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Solution

The third proportional to 1,646,272.50 and 2,457,015 is: 3,667,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,272.50 : 2,457,015 = 2,457,015 : x
  2. Step 2: Convert to fraction form
    1,646,272.50/2,457,015 = 2,457,015/x
  3. Step 3: Cross multiply
    1,646,272.50x = 2,457,015 × 2,457,015
  4. Step 4: Simplify right side
    1,646,272.50x = 6,036,922,710,225
  5. Step 5: Solve for x
    x = 6,036,922,710,225/1,646,272.50
  6. Step 6: Final answer
    x = 3,667,025.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.