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Finding the Third Proportional to 507,711 and 1,080,624

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Solution

The third proportional to 507,711 and 1,080,624 is: 2,300,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,711 : 1,080,624 = 1,080,624 : x
  2. Step 2: Convert to fraction form
    507,711/1,080,624 = 1,080,624/x
  3. Step 3: Cross multiply
    507,711x = 1,080,624 × 1,080,624
  4. Step 4: Simplify right side
    507,711x = 1,167,748,229,376
  5. Step 5: Solve for x
    x = 1,167,748,229,376/507,711
  6. Step 6: Final answer
    x = 2,300,025.47

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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.