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Finding the Third Proportional to 517,456 and 1,116,560

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Solution

The third proportional to 517,456 and 1,116,560 is: 2,409,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,456 : 1,116,560 = 1,116,560 : x
  2. Step 2: Convert to fraction form
    517,456/1,116,560 = 1,116,560/x
  3. Step 3: Cross multiply
    517,456x = 1,116,560 × 1,116,560
  4. Step 4: Simplify right side
    517,456x = 1,246,706,233,600
  5. Step 5: Solve for x
    x = 1,246,706,233,600/517,456
  6. Step 6: Final answer
    x = 2,409,299.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.