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Finding the Third Proportional to 635,916 and 1,345,446

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Solution

The third proportional to 635,916 and 1,345,446 is: 2,846,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,916 : 1,345,446 = 1,345,446 : x
  2. Step 2: Convert to fraction form
    635,916/1,345,446 = 1,345,446/x
  3. Step 3: Cross multiply
    635,916x = 1,345,446 × 1,345,446
  4. Step 4: Simplify right side
    635,916x = 1,810,224,938,916
  5. Step 5: Solve for x
    x = 1,810,224,938,916/635,916
  6. Step 6: Final answer
    x = 2,846,641.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.