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Finding the Third Proportional to 802,512 and 1,065,312

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Solution

The third proportional to 802,512 and 1,065,312 is: 1,414,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,512 : 1,065,312 = 1,065,312 : x
  2. Step 2: Convert to fraction form
    802,512/1,065,312 = 1,065,312/x
  3. Step 3: Cross multiply
    802,512x = 1,065,312 × 1,065,312
  4. Step 4: Simplify right side
    802,512x = 1,134,889,657,344
  5. Step 5: Solve for x
    x = 1,134,889,657,344/802,512
  6. Step 6: Final answer
    x = 1,414,171.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.