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Finding the Third Proportional to 577,698.33 and 1,246,736.81

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Solution

The third proportional to 577,698.33 and 1,246,736.81 is: 2,690,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,698.33 : 1,246,736.81 = 1,246,736.81 : x
  2. Step 2: Convert to fraction form
    577,698.33/1,246,736.81 = 1,246,736.81/x
  3. Step 3: Cross multiply
    577,698.33x = 1,246,736.81 × 1,246,736.81
  4. Step 4: Simplify right side
    577,698.33x = 1,554,352,679,642.66
  5. Step 5: Solve for x
    x = 1,554,352,679,642.66/577,698.33
  6. Step 6: Final answer
    x = 2,690,595.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.