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Finding the Third Proportional to 635,904 and 1,347,624

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Solution

The third proportional to 635,904 and 1,347,624 is: 2,855,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,904 : 1,347,624 = 1,347,624 : x
  2. Step 2: Convert to fraction form
    635,904/1,347,624 = 1,347,624/x
  3. Step 3: Cross multiply
    635,904x = 1,347,624 × 1,347,624
  4. Step 4: Simplify right side
    635,904x = 1,816,090,445,376
  5. Step 5: Solve for x
    x = 1,816,090,445,376/635,904
  6. Step 6: Final answer
    x = 2,855,919.20

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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.