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Finding the Third Proportional to 1,041,224 and 2,111,424

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Solution

The third proportional to 1,041,224 and 2,111,424 is: 4,281,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,224 : 2,111,424 = 2,111,424 : x
  2. Step 2: Convert to fraction form
    1,041,224/2,111,424 = 2,111,424/x
  3. Step 3: Cross multiply
    1,041,224x = 2,111,424 × 2,111,424
  4. Step 4: Simplify right side
    1,041,224x = 4,458,111,307,776
  5. Step 5: Solve for x
    x = 4,458,111,307,776/1,041,224
  6. Step 6: Final answer
    x = 4,281,606.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.