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Finding the Third Proportional to 507,712 and 1,080,626

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Solution

The third proportional to 507,712 and 1,080,626 is: 2,300,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,712 : 1,080,626 = 1,080,626 : x
  2. Step 2: Convert to fraction form
    507,712/1,080,626 = 1,080,626/x
  3. Step 3: Cross multiply
    507,712x = 1,080,626 × 1,080,626
  4. Step 4: Simplify right side
    507,712x = 1,167,752,551,876
  5. Step 5: Solve for x
    x = 1,167,752,551,876/507,712
  6. Step 6: Final answer
    x = 2,300,029.45

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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.