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Finding the Third Proportional to 796,729 and 1,866,434

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Solution

The third proportional to 796,729 and 1,866,434 is: 4,372,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,729 : 1,866,434 = 1,866,434 : x
  2. Step 2: Convert to fraction form
    796,729/1,866,434 = 1,866,434/x
  3. Step 3: Cross multiply
    796,729x = 1,866,434 × 1,866,434
  4. Step 4: Simplify right side
    796,729x = 3,483,575,876,356
  5. Step 5: Solve for x
    x = 3,483,575,876,356/796,729
  6. Step 6: Final answer
    x = 4,372,347.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.