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Finding the Third Proportional to 1,239,776 and 1,914,936

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Solution

The third proportional to 1,239,776 and 1,914,936 is: 2,957,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239,776 : 1,914,936 = 1,914,936 : x
  2. Step 2: Convert to fraction form
    1,239,776/1,914,936 = 1,914,936/x
  3. Step 3: Cross multiply
    1,239,776x = 1,914,936 × 1,914,936
  4. Step 4: Simplify right side
    1,239,776x = 3,666,979,884,096
  5. Step 5: Solve for x
    x = 3,666,979,884,096/1,239,776
  6. Step 6: Final answer
    x = 2,957,776.15

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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.