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Finding the Third Proportional to 2,305,710 and 3,683,421

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Solution

The third proportional to 2,305,710 and 3,683,421 is: 5,884,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,710 : 3,683,421 = 3,683,421 : x
  2. Step 2: Convert to fraction form
    2,305,710/3,683,421 = 3,683,421/x
  3. Step 3: Cross multiply
    2,305,710x = 3,683,421 × 3,683,421
  4. Step 4: Simplify right side
    2,305,710x = 13,567,590,263,241
  5. Step 5: Solve for x
    x = 13,567,590,263,241/2,305,710
  6. Step 6: Final answer
    x = 5,884,343.77

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.