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Finding the Third Proportional to 1,201,648 and 1,855,458

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Solution

The third proportional to 1,201,648 and 1,855,458 is: 2,865,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,648 : 1,855,458 = 1,855,458 : x
  2. Step 2: Convert to fraction form
    1,201,648/1,855,458 = 1,855,458/x
  3. Step 3: Cross multiply
    1,201,648x = 1,855,458 × 1,855,458
  4. Step 4: Simplify right side
    1,201,648x = 3,442,724,389,764
  5. Step 5: Solve for x
    x = 3,442,724,389,764/1,201,648
  6. Step 6: Final answer
    x = 2,865,002.39

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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.