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Finding the Third Proportional to 415,552 and 909,925

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Solution

The third proportional to 415,552 and 909,925 is: 1,992,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,552 : 909,925 = 909,925 : x
  2. Step 2: Convert to fraction form
    415,552/909,925 = 909,925/x
  3. Step 3: Cross multiply
    415,552x = 909,925 × 909,925
  4. Step 4: Simplify right side
    415,552x = 827,963,505,625
  5. Step 5: Solve for x
    x = 827,963,505,625/415,552
  6. Step 6: Final answer
    x = 1,992,442.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.