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Finding the Third Proportional to 763,536 and 1,658,304

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Solution

The third proportional to 763,536 and 1,658,304 is: 3,601,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,536 : 1,658,304 = 1,658,304 : x
  2. Step 2: Convert to fraction form
    763,536/1,658,304 = 1,658,304/x
  3. Step 3: Cross multiply
    763,536x = 1,658,304 × 1,658,304
  4. Step 4: Simplify right side
    763,536x = 2,749,972,156,416
  5. Step 5: Solve for x
    x = 2,749,972,156,416/763,536
  6. Step 6: Final answer
    x = 3,601,627.37

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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.