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Finding the Third Proportional to 1,265,009 and 2,710,809

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Solution

The third proportional to 1,265,009 and 2,710,809 is: 5,809,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,009 : 2,710,809 = 2,710,809 : x
  2. Step 2: Convert to fraction form
    1,265,009/2,710,809 = 2,710,809/x
  3. Step 3: Cross multiply
    1,265,009x = 2,710,809 × 2,710,809
  4. Step 4: Simplify right side
    1,265,009x = 7,348,485,434,481
  5. Step 5: Solve for x
    x = 7,348,485,434,481/1,265,009
  6. Step 6: Final answer
    x = 5,809,038.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.