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Finding the Third Proportional to 1,001,442 and 1,902,009

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Solution

The third proportional to 1,001,442 and 1,902,009 is: 3,612,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,442 : 1,902,009 = 1,902,009 : x
  2. Step 2: Convert to fraction form
    1,001,442/1,902,009 = 1,902,009/x
  3. Step 3: Cross multiply
    1,001,442x = 1,902,009 × 1,902,009
  4. Step 4: Simplify right side
    1,001,442x = 3,617,638,236,081
  5. Step 5: Solve for x
    x = 3,617,638,236,081/1,001,442
  6. Step 6: Final answer
    x = 3,612,429.11

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.