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Finding the Third Proportional to 409,045 and 955,361

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Solution

The third proportional to 409,045 and 955,361 is: 2,231,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,045 : 955,361 = 955,361 : x
  2. Step 2: Convert to fraction form
    409,045/955,361 = 955,361/x
  3. Step 3: Cross multiply
    409,045x = 955,361 × 955,361
  4. Step 4: Simplify right side
    409,045x = 912,714,640,321
  5. Step 5: Solve for x
    x = 912,714,640,321/409,045
  6. Step 6: Final answer
    x = 2,231,330.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.