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Finding the Third Proportional to 635,050.13 and 1,357,443.56

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Solution

The third proportional to 635,050.13 and 1,357,443.56 is: 2,901,586.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,050.13 : 1,357,443.56 = 1,357,443.56 : x
  2. Step 2: Convert to fraction form
    635,050.13/1,357,443.56 = 1,357,443.56/x
  3. Step 3: Cross multiply
    635,050.13x = 1,357,443.56 × 1,357,443.56
  4. Step 4: Simplify right side
    635,050.13x = 1,842,653,025,372.69
  5. Step 5: Solve for x
    x = 1,842,653,025,372.69/635,050.13
  6. Step 6: Final answer
    x = 2,901,586.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.