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Finding the Third Proportional to 3,065,617 and 6,504,770

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Solution

The third proportional to 3,065,617 and 6,504,770 is: 13,802,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065,617 : 6,504,770 = 6,504,770 : x
  2. Step 2: Convert to fraction form
    3,065,617/6,504,770 = 6,504,770/x
  3. Step 3: Cross multiply
    3,065,617x = 6,504,770 × 6,504,770
  4. Step 4: Simplify right side
    3,065,617x = 42,312,032,752,900
  5. Step 5: Solve for x
    x = 42,312,032,752,900/3,065,617
  6. Step 6: Final answer
    x = 13,802,126.21

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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.