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Finding the Third Proportional to 635,954 and 1,345,528

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Solution

The third proportional to 635,954 and 1,345,528 is: 2,846,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,954 : 1,345,528 = 1,345,528 : x
  2. Step 2: Convert to fraction form
    635,954/1,345,528 = 1,345,528/x
  3. Step 3: Cross multiply
    635,954x = 1,345,528 × 1,345,528
  4. Step 4: Simplify right side
    635,954x = 1,810,445,598,784
  5. Step 5: Solve for x
    x = 1,810,445,598,784/635,954
  6. Step 6: Final answer
    x = 2,846,818.48

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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.