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Finding the Third Proportional to 415,296 and 909,216

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Solution

The third proportional to 415,296 and 909,216 is: 1,990,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,296 : 909,216 = 909,216 : x
  2. Step 2: Convert to fraction form
    415,296/909,216 = 909,216/x
  3. Step 3: Cross multiply
    415,296x = 909,216 × 909,216
  4. Step 4: Simplify right side
    415,296x = 826,673,734,656
  5. Step 5: Solve for x
    x = 826,673,734,656/415,296
  6. Step 6: Final answer
    x = 1,990,565.13

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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.