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Finding the Third Proportional to 3,644,201 and 7,972,786

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Solution

The third proportional to 3,644,201 and 7,972,786 is: 17,442,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,201 : 7,972,786 = 7,972,786 : x
  2. Step 2: Convert to fraction form
    3,644,201/7,972,786 = 7,972,786/x
  3. Step 3: Cross multiply
    3,644,201x = 7,972,786 × 7,972,786
  4. Step 4: Simplify right side
    3,644,201x = 63,565,316,601,796
  5. Step 5: Solve for x
    x = 63,565,316,601,796/3,644,201
  6. Step 6: Final answer
    x = 17,442,867.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.