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Finding the Third Proportional to 805,928 and 1,257,904

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Solution

The third proportional to 805,928 and 1,257,904 is: 1,963,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,928 : 1,257,904 = 1,257,904 : x
  2. Step 2: Convert to fraction form
    805,928/1,257,904 = 1,257,904/x
  3. Step 3: Cross multiply
    805,928x = 1,257,904 × 1,257,904
  4. Step 4: Simplify right side
    805,928x = 1,582,322,473,216
  5. Step 5: Solve for x
    x = 1,582,322,473,216/805,928
  6. Step 6: Final answer
    x = 1,963,354.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.