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Finding the Third Proportional to 404,742 and 879,465

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Solution

The third proportional to 404,742 and 879,465 is: 1,910,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,742 : 879,465 = 879,465 : x
  2. Step 2: Convert to fraction form
    404,742/879,465 = 879,465/x
  3. Step 3: Cross multiply
    404,742x = 879,465 × 879,465
  4. Step 4: Simplify right side
    404,742x = 773,458,686,225
  5. Step 5: Solve for x
    x = 773,458,686,225/404,742
  6. Step 6: Final answer
    x = 1,910,991.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.