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Finding the Third Proportional to 416,964 and 910,384

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Solution

The third proportional to 416,964 and 910,384 is: 1,987,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,964 : 910,384 = 910,384 : x
  2. Step 2: Convert to fraction form
    416,964/910,384 = 910,384/x
  3. Step 3: Cross multiply
    416,964x = 910,384 × 910,384
  4. Step 4: Simplify right side
    416,964x = 828,799,027,456
  5. Step 5: Solve for x
    x = 828,799,027,456/416,964
  6. Step 6: Final answer
    x = 1,987,699.24

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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.