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Finding the Third Proportional to 507,721 and 1,080,644

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Solution

The third proportional to 507,721 and 1,080,644 is: 2,300,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,721 : 1,080,644 = 1,080,644 : x
  2. Step 2: Convert to fraction form
    507,721/1,080,644 = 1,080,644/x
  3. Step 3: Cross multiply
    507,721x = 1,080,644 × 1,080,644
  4. Step 4: Simplify right side
    507,721x = 1,167,791,454,736
  5. Step 5: Solve for x
    x = 1,167,791,454,736/507,721
  6. Step 6: Final answer
    x = 2,300,065.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.