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Finding the Third Proportional to 1,239,761.68 and 1,914,914.10

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Solution

The third proportional to 1,239,761.68 and 1,914,914.10 is: 2,957,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239,761.68 : 1,914,914.10 = 1,914,914.10 : x
  2. Step 2: Convert to fraction form
    1,239,761.68/1,914,914.10 = 1,914,914.10/x
  3. Step 3: Cross multiply
    1,239,761.68x = 1,914,914.10 × 1,914,914.10
  4. Step 4: Simplify right side
    1,239,761.68x = 3,666,896,004,207.81
  5. Step 5: Solve for x
    x = 3,666,896,004,207.81/1,239,761.68
  6. Step 6: Final answer
    x = 2,957,742.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.