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Finding the Third Proportional to 2,505,972 and 3,817,710

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Solution

The third proportional to 2,505,972 and 3,817,710 is: 5,816,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,972 : 3,817,710 = 3,817,710 : x
  2. Step 2: Convert to fraction form
    2,505,972/3,817,710 = 3,817,710/x
  3. Step 3: Cross multiply
    2,505,972x = 3,817,710 × 3,817,710
  4. Step 4: Simplify right side
    2,505,972x = 14,574,909,644,100
  5. Step 5: Solve for x
    x = 14,574,909,644,100/2,505,972
  6. Step 6: Final answer
    x = 5,816,070.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.