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Finding the Third Proportional to 416,961 and 910,386

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Solution

The third proportional to 416,961 and 910,386 is: 1,987,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,961 : 910,386 = 910,386 : x
  2. Step 2: Convert to fraction form
    416,961/910,386 = 910,386/x
  3. Step 3: Cross multiply
    416,961x = 910,386 × 910,386
  4. Step 4: Simplify right side
    416,961x = 828,802,668,996
  5. Step 5: Solve for x
    x = 828,802,668,996/416,961
  6. Step 6: Final answer
    x = 1,987,722.28

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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.