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Finding the Third Proportional to 417,004 and 910,484

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Solution

The third proportional to 417,004 and 910,484 is: 1,987,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,004 : 910,484 = 910,484 : x
  2. Step 2: Convert to fraction form
    417,004/910,484 = 910,484/x
  3. Step 3: Cross multiply
    417,004x = 910,484 × 910,484
  4. Step 4: Simplify right side
    417,004x = 828,981,114,256
  5. Step 5: Solve for x
    x = 828,981,114,256/417,004
  6. Step 6: Final answer
    x = 1,987,945.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.