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Finding the Third Proportional to 828,060 and 1,171,944

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Solution

The third proportional to 828,060 and 1,171,944 is: 1,658,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,060 : 1,171,944 = 1,171,944 : x
  2. Step 2: Convert to fraction form
    828,060/1,171,944 = 1,171,944/x
  3. Step 3: Cross multiply
    828,060x = 1,171,944 × 1,171,944
  4. Step 4: Simplify right side
    828,060x = 1,373,452,739,136
  5. Step 5: Solve for x
    x = 1,373,452,739,136/828,060
  6. Step 6: Final answer
    x = 1,658,639.16

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