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Finding the Third Proportional to 461,284 and 1,003,304

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Solution

The third proportional to 461,284 and 1,003,304 is: 2,182,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,284 : 1,003,304 = 1,003,304 : x
  2. Step 2: Convert to fraction form
    461,284/1,003,304 = 1,003,304/x
  3. Step 3: Cross multiply
    461,284x = 1,003,304 × 1,003,304
  4. Step 4: Simplify right side
    461,284x = 1,006,618,916,416
  5. Step 5: Solve for x
    x = 1,006,618,916,416/461,284
  6. Step 6: Final answer
    x = 2,182,210.78

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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.