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Finding the Third Proportional to 1,203,386 and 2,642,933

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Solution

The third proportional to 1,203,386 and 2,642,933 is: 5,804,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,386 : 2,642,933 = 2,642,933 : x
  2. Step 2: Convert to fraction form
    1,203,386/2,642,933 = 2,642,933/x
  3. Step 3: Cross multiply
    1,203,386x = 2,642,933 × 2,642,933
  4. Step 4: Simplify right side
    1,203,386x = 6,985,094,842,489
  5. Step 5: Solve for x
    x = 6,985,094,842,489/1,203,386
  6. Step 6: Final answer
    x = 5,804,533.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.