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Finding the Third Proportional to 1,584,771 and 3,415,950

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Solution

The third proportional to 1,584,771 and 3,415,950 is: 7,363,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,771 : 3,415,950 = 3,415,950 : x
  2. Step 2: Convert to fraction form
    1,584,771/3,415,950 = 3,415,950/x
  3. Step 3: Cross multiply
    1,584,771x = 3,415,950 × 3,415,950
  4. Step 4: Simplify right side
    1,584,771x = 11,668,714,402,500
  5. Step 5: Solve for x
    x = 11,668,714,402,500/1,584,771
  6. Step 6: Final answer
    x = 7,363,028.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.