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Finding the Third Proportional to 432,612 and 925,008

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Solution

The third proportional to 432,612 and 925,008 is: 1,977,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,612 : 925,008 = 925,008 : x
  2. Step 2: Convert to fraction form
    432,612/925,008 = 925,008/x
  3. Step 3: Cross multiply
    432,612x = 925,008 × 925,008
  4. Step 4: Simplify right side
    432,612x = 855,639,800,064
  5. Step 5: Solve for x
    x = 855,639,800,064/432,612
  6. Step 6: Final answer
    x = 1,977,845.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.