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Finding the Third Proportional to 507,715 and 1,080,632

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Solution

The third proportional to 507,715 and 1,080,632 is: 2,300,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,715 : 1,080,632 = 1,080,632 : x
  2. Step 2: Convert to fraction form
    507,715/1,080,632 = 1,080,632/x
  3. Step 3: Cross multiply
    507,715x = 1,080,632 × 1,080,632
  4. Step 4: Simplify right side
    507,715x = 1,167,765,519,424
  5. Step 5: Solve for x
    x = 1,167,765,519,424/507,715
  6. Step 6: Final answer
    x = 2,300,041.40

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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.