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Finding the Third Proportional to 618,816 and 1,357,104

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Solution

The third proportional to 618,816 and 1,357,104 is: 2,976,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,816 : 1,357,104 = 1,357,104 : x
  2. Step 2: Convert to fraction form
    618,816/1,357,104 = 1,357,104/x
  3. Step 3: Cross multiply
    618,816x = 1,357,104 × 1,357,104
  4. Step 4: Simplify right side
    618,816x = 1,841,731,266,816
  5. Step 5: Solve for x
    x = 1,841,731,266,816/618,816
  6. Step 6: Final answer
    x = 2,976,217.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.