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Finding the Third Proportional to 631,472 and 1,352,800

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Solution

The third proportional to 631,472 and 1,352,800 is: 2,898,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,472 : 1,352,800 = 1,352,800 : x
  2. Step 2: Convert to fraction form
    631,472/1,352,800 = 1,352,800/x
  3. Step 3: Cross multiply
    631,472x = 1,352,800 × 1,352,800
  4. Step 4: Simplify right side
    631,472x = 1,830,067,840,000
  5. Step 5: Solve for x
    x = 1,830,067,840,000/631,472
  6. Step 6: Final answer
    x = 2,898,098.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.