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Finding the Third Proportional to 1,841,009 and 3,809,842

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Solution

The third proportional to 1,841,009 and 3,809,842 is: 7,884,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841,009 : 3,809,842 = 3,809,842 : x
  2. Step 2: Convert to fraction form
    1,841,009/3,809,842 = 3,809,842/x
  3. Step 3: Cross multiply
    1,841,009x = 3,809,842 × 3,809,842
  4. Step 4: Simplify right side
    1,841,009x = 14,514,896,064,964
  5. Step 5: Solve for x
    x = 14,514,896,064,964/1,841,009
  6. Step 6: Final answer
    x = 7,884,207.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.