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Finding the Third Proportional to 2,474,102 and 3,830,871

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Solution

The third proportional to 2,474,102 and 3,830,871 is: 5,931,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,102 : 3,830,871 = 3,830,871 : x
  2. Step 2: Convert to fraction form
    2,474,102/3,830,871 = 3,830,871/x
  3. Step 3: Cross multiply
    2,474,102x = 3,830,871 × 3,830,871
  4. Step 4: Simplify right side
    2,474,102x = 14,675,572,618,641
  5. Step 5: Solve for x
    x = 14,675,572,618,641/2,474,102
  6. Step 6: Final answer
    x = 5,931,676.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.