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Finding the Third Proportional to 635,915 and 1,347,646

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Solution

The third proportional to 635,915 and 1,347,646 is: 2,855,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,915 : 1,347,646 = 1,347,646 : x
  2. Step 2: Convert to fraction form
    635,915/1,347,646 = 1,347,646/x
  3. Step 3: Cross multiply
    635,915x = 1,347,646 × 1,347,646
  4. Step 4: Simplify right side
    635,915x = 1,816,149,741,316
  5. Step 5: Solve for x
    x = 1,816,149,741,316/635,915
  6. Step 6: Final answer
    x = 2,855,963.05

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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.