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Finding the Third Proportional to 828,160 and 1,172,094

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Solution

The third proportional to 828,160 and 1,172,094 is: 1,658,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,160 : 1,172,094 = 1,172,094 : x
  2. Step 2: Convert to fraction form
    828,160/1,172,094 = 1,172,094/x
  3. Step 3: Cross multiply
    828,160x = 1,172,094 × 1,172,094
  4. Step 4: Simplify right side
    828,160x = 1,373,804,344,836
  5. Step 5: Solve for x
    x = 1,373,804,344,836/828,160
  6. Step 6: Final answer
    x = 1,658,863.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.