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Finding the Third Proportional to 436,113 and 925,065

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Solution

The third proportional to 436,113 and 925,065 is: 1,962,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,113 : 925,065 = 925,065 : x
  2. Step 2: Convert to fraction form
    436,113/925,065 = 925,065/x
  3. Step 3: Cross multiply
    436,113x = 925,065 × 925,065
  4. Step 4: Simplify right side
    436,113x = 855,745,254,225
  5. Step 5: Solve for x
    x = 855,745,254,225/436,113
  6. Step 6: Final answer
    x = 1,962,209.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.