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Finding the Third Proportional to 896,271 and 1,345,380

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Solution

The third proportional to 896,271 and 1,345,380 is: 2,019,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,271 : 1,345,380 = 1,345,380 : x
  2. Step 2: Convert to fraction form
    896,271/1,345,380 = 1,345,380/x
  3. Step 3: Cross multiply
    896,271x = 1,345,380 × 1,345,380
  4. Step 4: Simplify right side
    896,271x = 1,810,047,344,400
  5. Step 5: Solve for x
    x = 1,810,047,344,400/896,271
  6. Step 6: Final answer
    x = 2,019,531.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.