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Finding the Third Proportional to 1,235,744 and 1,910,364

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Solution

The third proportional to 1,235,744 and 1,910,364 is: 2,953,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,744 : 1,910,364 = 1,910,364 : x
  2. Step 2: Convert to fraction form
    1,235,744/1,910,364 = 1,910,364/x
  3. Step 3: Cross multiply
    1,235,744x = 1,910,364 × 1,910,364
  4. Step 4: Simplify right side
    1,235,744x = 3,649,490,612,496
  5. Step 5: Solve for x
    x = 3,649,490,612,496/1,235,744
  6. Step 6: Final answer
    x = 2,953,273.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.