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Finding the Third Proportional to 510,818 and 1,074,570

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Solution

The third proportional to 510,818 and 1,074,570 is: 2,260,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,818 : 1,074,570 = 1,074,570 : x
  2. Step 2: Convert to fraction form
    510,818/1,074,570 = 1,074,570/x
  3. Step 3: Cross multiply
    510,818x = 1,074,570 × 1,074,570
  4. Step 4: Simplify right side
    510,818x = 1,154,700,684,900
  5. Step 5: Solve for x
    x = 1,154,700,684,900/510,818
  6. Step 6: Final answer
    x = 2,260,493.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.