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Finding the Third Proportional to 524,008 and 1,122,714

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Solution

The third proportional to 524,008 and 1,122,714 is: 2,405,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,008 : 1,122,714 = 1,122,714 : x
  2. Step 2: Convert to fraction form
    524,008/1,122,714 = 1,122,714/x
  3. Step 3: Cross multiply
    524,008x = 1,122,714 × 1,122,714
  4. Step 4: Simplify right side
    524,008x = 1,260,486,725,796
  5. Step 5: Solve for x
    x = 1,260,486,725,796/524,008
  6. Step 6: Final answer
    x = 2,405,472.29

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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.