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Finding the Third Proportional to 506,460 and 1,080,716

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Solution

The third proportional to 506,460 and 1,080,716 is: 2,306,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,460 : 1,080,716 = 1,080,716 : x
  2. Step 2: Convert to fraction form
    506,460/1,080,716 = 1,080,716/x
  3. Step 3: Cross multiply
    506,460x = 1,080,716 × 1,080,716
  4. Step 4: Simplify right side
    506,460x = 1,167,947,072,656
  5. Step 5: Solve for x
    x = 1,167,947,072,656/506,460
  6. Step 6: Final answer
    x = 2,306,099.34

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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.