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Finding the Third Proportional to 762,609 and 1,658,017

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Solution

The third proportional to 762,609 and 1,658,017 is: 3,604,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,609 : 1,658,017 = 1,658,017 : x
  2. Step 2: Convert to fraction form
    762,609/1,658,017 = 1,658,017/x
  3. Step 3: Cross multiply
    762,609x = 1,658,017 × 1,658,017
  4. Step 4: Simplify right side
    762,609x = 2,749,020,372,289
  5. Step 5: Solve for x
    x = 2,749,020,372,289/762,609
  6. Step 6: Final answer
    x = 3,604,757.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.