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Finding the Third Proportional to 417,456 and 909,900

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Solution

The third proportional to 417,456 and 909,900 is: 1,983,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,456 : 909,900 = 909,900 : x
  2. Step 2: Convert to fraction form
    417,456/909,900 = 909,900/x
  3. Step 3: Cross multiply
    417,456x = 909,900 × 909,900
  4. Step 4: Simplify right side
    417,456x = 827,918,010,000
  5. Step 5: Solve for x
    x = 827,918,010,000/417,456
  6. Step 6: Final answer
    x = 1,983,246.16

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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.