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Finding the Third Proportional to 892,204.88 and 1,271,877.19

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Solution

The third proportional to 892,204.88 and 1,271,877.19 is: 1,813,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,204.88 : 1,271,877.19 = 1,271,877.19 : x
  2. Step 2: Convert to fraction form
    892,204.88/1,271,877.19 = 1,271,877.19/x
  3. Step 3: Cross multiply
    892,204.88x = 1,271,877.19 × 1,271,877.19
  4. Step 4: Simplify right side
    892,204.88x = 1,617,671,580,082.91
  5. Step 5: Solve for x
    x = 1,617,671,580,082.91/892,204.88
  6. Step 6: Final answer
    x = 1,813,116.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.