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Finding the Third Proportional to 546,981 and 828,018

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Solution

The third proportional to 546,981 and 828,018 is: 1,253,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,981 : 828,018 = 828,018 : x
  2. Step 2: Convert to fraction form
    546,981/828,018 = 828,018/x
  3. Step 3: Cross multiply
    546,981x = 828,018 × 828,018
  4. Step 4: Simplify right side
    546,981x = 685,613,808,324
  5. Step 5: Solve for x
    x = 685,613,808,324/546,981
  6. Step 6: Final answer
    x = 1,253,450.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.