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Finding the Third Proportional to 1,744,434 and 3,696,003

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Solution

The third proportional to 1,744,434 and 3,696,003 is: 7,830,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,434 : 3,696,003 = 3,696,003 : x
  2. Step 2: Convert to fraction form
    1,744,434/3,696,003 = 3,696,003/x
  3. Step 3: Cross multiply
    1,744,434x = 3,696,003 × 3,696,003
  4. Step 4: Simplify right side
    1,744,434x = 13,660,438,176,009
  5. Step 5: Solve for x
    x = 13,660,438,176,009/1,744,434
  6. Step 6: Final answer
    x = 7,830,871.32

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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.