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Finding the Third Proportional to 743,964 and 1,620,786

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Solution

The third proportional to 743,964 and 1,620,786 is: 3,531,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,964 : 1,620,786 = 1,620,786 : x
  2. Step 2: Convert to fraction form
    743,964/1,620,786 = 1,620,786/x
  3. Step 3: Cross multiply
    743,964x = 1,620,786 × 1,620,786
  4. Step 4: Simplify right side
    743,964x = 2,626,947,257,796
  5. Step 5: Solve for x
    x = 2,626,947,257,796/743,964
  6. Step 6: Final answer
    x = 3,531,013.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.