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Finding the Third Proportional to 461,280 and 1,003,296

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Solution

The third proportional to 461,280 and 1,003,296 is: 2,182,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,280 : 1,003,296 = 1,003,296 : x
  2. Step 2: Convert to fraction form
    461,280/1,003,296 = 1,003,296/x
  3. Step 3: Cross multiply
    461,280x = 1,003,296 × 1,003,296
  4. Step 4: Simplify right side
    461,280x = 1,006,602,863,616
  5. Step 5: Solve for x
    x = 1,006,602,863,616/461,280
  6. Step 6: Final answer
    x = 2,182,194.90

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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.