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Finding the Third Proportional to 1,675,566 and 3,616,786

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Solution

The third proportional to 1,675,566 and 3,616,786 is: 7,806,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,566 : 3,616,786 = 3,616,786 : x
  2. Step 2: Convert to fraction form
    1,675,566/3,616,786 = 3,616,786/x
  3. Step 3: Cross multiply
    1,675,566x = 3,616,786 × 3,616,786
  4. Step 4: Simplify right side
    1,675,566x = 13,081,140,969,796
  5. Step 5: Solve for x
    x = 13,081,140,969,796/1,675,566
  6. Step 6: Final answer
    x = 7,806,998.33

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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.