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Finding the Third Proportional to 635,481 and 981,409.50

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Solution

The third proportional to 635,481 and 981,409.50 is: 1,515,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,481 : 981,409.50 = 981,409.50 : x
  2. Step 2: Convert to fraction form
    635,481/981,409.50 = 981,409.50/x
  3. Step 3: Cross multiply
    635,481x = 981,409.50 × 981,409.50
  4. Step 4: Simplify right side
    635,481x = 963,164,606,690.25
  5. Step 5: Solve for x
    x = 963,164,606,690.25/635,481
  6. Step 6: Final answer
    x = 1,515,646.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.