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Finding the Third Proportional to 1,422,868 and 2,186,784

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Solution

The third proportional to 1,422,868 and 2,186,784 is: 3,360,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422,868 : 2,186,784 = 2,186,784 : x
  2. Step 2: Convert to fraction form
    1,422,868/2,186,784 = 2,186,784/x
  3. Step 3: Cross multiply
    1,422,868x = 2,186,784 × 2,186,784
  4. Step 4: Simplify right side
    1,422,868x = 4,782,024,262,656
  5. Step 5: Solve for x
    x = 4,782,024,262,656/1,422,868
  6. Step 6: Final answer
    x = 3,360,834.78

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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.