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Finding the Third Proportional to 427,185 and 909,585

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Solution

The third proportional to 427,185 and 909,585 is: 1,936,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,185 : 909,585 = 909,585 : x
  2. Step 2: Convert to fraction form
    427,185/909,585 = 909,585/x
  3. Step 3: Cross multiply
    427,185x = 909,585 × 909,585
  4. Step 4: Simplify right side
    427,185x = 827,344,872,225
  5. Step 5: Solve for x
    x = 827,344,872,225/427,185
  6. Step 6: Final answer
    x = 1,936,736.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.