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Finding the Third Proportional to 1,432,314 and 2,071,379.25

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Solution

The third proportional to 1,432,314 and 2,071,379.25 is: 2,995,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,314 : 2,071,379.25 = 2,071,379.25 : x
  2. Step 2: Convert to fraction form
    1,432,314/2,071,379.25 = 2,071,379.25/x
  3. Step 3: Cross multiply
    1,432,314x = 2,071,379.25 × 2,071,379.25
  4. Step 4: Simplify right side
    1,432,314x = 4,290,611,997,330.56
  5. Step 5: Solve for x
    x = 4,290,611,997,330.56/1,432,314
  6. Step 6: Final answer
    x = 2,995,580.58

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.