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Finding the Third Proportional to 436,716 and 925,914

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Solution

The third proportional to 436,716 and 925,914 is: 1,963,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,716 : 925,914 = 925,914 : x
  2. Step 2: Convert to fraction form
    436,716/925,914 = 925,914/x
  3. Step 3: Cross multiply
    436,716x = 925,914 × 925,914
  4. Step 4: Simplify right side
    436,716x = 857,316,735,396
  5. Step 5: Solve for x
    x = 857,316,735,396/436,716
  6. Step 6: Final answer
    x = 1,963,098.98

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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.