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Finding the Third Proportional to 515,972 and 1,094,386

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Solution

The third proportional to 515,972 and 1,094,386 is: 2,321,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,972 : 1,094,386 = 1,094,386 : x
  2. Step 2: Convert to fraction form
    515,972/1,094,386 = 1,094,386/x
  3. Step 3: Cross multiply
    515,972x = 1,094,386 × 1,094,386
  4. Step 4: Simplify right side
    515,972x = 1,197,680,716,996
  5. Step 5: Solve for x
    x = 1,197,680,716,996/515,972
  6. Step 6: Final answer
    x = 2,321,212.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.