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Finding the Third Proportional to 1,265,012 and 2,710,816

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Solution

The third proportional to 1,265,012 and 2,710,816 is: 5,809,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,012 : 2,710,816 = 2,710,816 : x
  2. Step 2: Convert to fraction form
    1,265,012/2,710,816 = 2,710,816/x
  3. Step 3: Cross multiply
    1,265,012x = 2,710,816 × 2,710,816
  4. Step 4: Simplify right side
    1,265,012x = 7,348,523,385,856
  5. Step 5: Solve for x
    x = 7,348,523,385,856/1,265,012
  6. Step 6: Final answer
    x = 5,809,054.29

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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.