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Finding the Third Proportional to 762,608 and 1,658,032

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Solution

The third proportional to 762,608 and 1,658,032 is: 3,604,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,608 : 1,658,032 = 1,658,032 : x
  2. Step 2: Convert to fraction form
    762,608/1,658,032 = 1,658,032/x
  3. Step 3: Cross multiply
    762,608x = 1,658,032 × 1,658,032
  4. Step 4: Simplify right side
    762,608x = 2,749,070,113,024
  5. Step 5: Solve for x
    x = 2,749,070,113,024/762,608
  6. Step 6: Final answer
    x = 3,604,827.27

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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.