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Finding the Third Proportional to 1,242,505 and 2,717,643

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Solution

The third proportional to 1,242,505 and 2,717,643 is: 5,944,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,505 : 2,717,643 = 2,717,643 : x
  2. Step 2: Convert to fraction form
    1,242,505/2,717,643 = 2,717,643/x
  3. Step 3: Cross multiply
    1,242,505x = 2,717,643 × 2,717,643
  4. Step 4: Simplify right side
    1,242,505x = 7,385,583,475,449
  5. Step 5: Solve for x
    x = 7,385,583,475,449/1,242,505
  6. Step 6: Final answer
    x = 5,944,107.65

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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.