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Finding the Third Proportional to 1,203,897 and 2,507,438

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Solution

The third proportional to 1,203,897 and 2,507,438 is: 5,222,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,897 : 2,507,438 = 2,507,438 : x
  2. Step 2: Convert to fraction form
    1,203,897/2,507,438 = 2,507,438/x
  3. Step 3: Cross multiply
    1,203,897x = 2,507,438 × 2,507,438
  4. Step 4: Simplify right side
    1,203,897x = 6,287,245,323,844
  5. Step 5: Solve for x
    x = 6,287,245,323,844/1,203,897
  6. Step 6: Final answer
    x = 5,222,411.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.