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Finding the Third Proportional to 484,631 and 1,057,387

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Solution

The third proportional to 484,631 and 1,057,387 is: 2,307,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,631 : 1,057,387 = 1,057,387 : x
  2. Step 2: Convert to fraction form
    484,631/1,057,387 = 1,057,387/x
  3. Step 3: Cross multiply
    484,631x = 1,057,387 × 1,057,387
  4. Step 4: Simplify right side
    484,631x = 1,118,067,267,769
  5. Step 5: Solve for x
    x = 1,118,067,267,769/484,631
  6. Step 6: Final answer
    x = 2,307,048.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.