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Finding the Third Proportional to 510,680 and 1,122,664

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Solution

The third proportional to 510,680 and 1,122,664 is: 2,468,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,680 : 1,122,664 = 1,122,664 : x
  2. Step 2: Convert to fraction form
    510,680/1,122,664 = 1,122,664/x
  3. Step 3: Cross multiply
    510,680x = 1,122,664 × 1,122,664
  4. Step 4: Simplify right side
    510,680x = 1,260,374,456,896
  5. Step 5: Solve for x
    x = 1,260,374,456,896/510,680
  6. Step 6: Final answer
    x = 2,468,031.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.