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Finding the Third Proportional to 461,256 and 1,003,290

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Solution

The third proportional to 461,256 and 1,003,290 is: 2,182,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,256 : 1,003,290 = 1,003,290 : x
  2. Step 2: Convert to fraction form
    461,256/1,003,290 = 1,003,290/x
  3. Step 3: Cross multiply
    461,256x = 1,003,290 × 1,003,290
  4. Step 4: Simplify right side
    461,256x = 1,006,590,824,100
  5. Step 5: Solve for x
    x = 1,006,590,824,100/461,256
  6. Step 6: Final answer
    x = 2,182,282.34

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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.