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Finding the Third Proportional to 773,732 and 1,680,291

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Solution

The third proportional to 773,732 and 1,680,291 is: 3,649,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,732 : 1,680,291 = 1,680,291 : x
  2. Step 2: Convert to fraction form
    773,732/1,680,291 = 1,680,291/x
  3. Step 3: Cross multiply
    773,732x = 1,680,291 × 1,680,291
  4. Step 4: Simplify right side
    773,732x = 2,823,377,844,681
  5. Step 5: Solve for x
    x = 2,823,377,844,681/773,732
  6. Step 6: Final answer
    x = 3,649,038.48

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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.