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Finding the Third Proportional to 1,267,012 and 2,732,069

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Solution

The third proportional to 1,267,012 and 2,732,069 is: 5,891,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,012 : 2,732,069 = 2,732,069 : x
  2. Step 2: Convert to fraction form
    1,267,012/2,732,069 = 2,732,069/x
  3. Step 3: Cross multiply
    1,267,012x = 2,732,069 × 2,732,069
  4. Step 4: Simplify right side
    1,267,012x = 7,464,201,020,761
  5. Step 5: Solve for x
    x = 7,464,201,020,761/1,267,012
  6. Step 6: Final answer
    x = 5,891,184.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.