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Finding the Third Proportional to 432,609 and 931,779

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Solution

The third proportional to 432,609 and 931,779 is: 2,006,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,609 : 931,779 = 931,779 : x
  2. Step 2: Convert to fraction form
    432,609/931,779 = 931,779/x
  3. Step 3: Cross multiply
    432,609x = 931,779 × 931,779
  4. Step 4: Simplify right side
    432,609x = 868,212,104,841
  5. Step 5: Solve for x
    x = 868,212,104,841/432,609
  6. Step 6: Final answer
    x = 2,006,921.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.