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Finding the Third Proportional to 506,718 and 1,094,634

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Solution

The third proportional to 506,718 and 1,094,634 is: 2,364,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,718 : 1,094,634 = 1,094,634 : x
  2. Step 2: Convert to fraction form
    506,718/1,094,634 = 1,094,634/x
  3. Step 3: Cross multiply
    506,718x = 1,094,634 × 1,094,634
  4. Step 4: Simplify right side
    506,718x = 1,198,223,593,956
  5. Step 5: Solve for x
    x = 1,198,223,593,956/506,718
  6. Step 6: Final answer
    x = 2,364,675.41

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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.