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Finding the Third Proportional to 426,532 and 933,415

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Solution

The third proportional to 426,532 and 933,415 is: 2,042,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,532 : 933,415 = 933,415 : x
  2. Step 2: Convert to fraction form
    426,532/933,415 = 933,415/x
  3. Step 3: Cross multiply
    426,532x = 933,415 × 933,415
  4. Step 4: Simplify right side
    426,532x = 871,263,562,225
  5. Step 5: Solve for x
    x = 871,263,562,225/426,532
  6. Step 6: Final answer
    x = 2,042,668.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.