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Finding the Third Proportional to 1,380,742 and 2,953,382

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Solution

The third proportional to 1,380,742 and 2,953,382 is: 6,317,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,742 : 2,953,382 = 2,953,382 : x
  2. Step 2: Convert to fraction form
    1,380,742/2,953,382 = 2,953,382/x
  3. Step 3: Cross multiply
    1,380,742x = 2,953,382 × 2,953,382
  4. Step 4: Simplify right side
    1,380,742x = 8,722,465,237,924
  5. Step 5: Solve for x
    x = 8,722,465,237,924/1,380,742
  6. Step 6: Final answer
    x = 6,317,230.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.