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Finding the Third Proportional to 4,757,120 and 6,781,376

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Solution

The third proportional to 4,757,120 and 6,781,376 is: 9,666,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,120 : 6,781,376 = 6,781,376 : x
  2. Step 2: Convert to fraction form
    4,757,120/6,781,376 = 6,781,376/x
  3. Step 3: Cross multiply
    4,757,120x = 6,781,376 × 6,781,376
  4. Step 4: Simplify right side
    4,757,120x = 45,987,060,453,376
  5. Step 5: Solve for x
    x = 45,987,060,453,376/4,757,120
  6. Step 6: Final answer
    x = 9,666,996.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.