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Finding the Third Proportional to 594,144 and 1,272,426.75

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Solution

The third proportional to 594,144 and 1,272,426.75 is: 2,725,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,144 : 1,272,426.75 = 1,272,426.75 : x
  2. Step 2: Convert to fraction form
    594,144/1,272,426.75 = 1,272,426.75/x
  3. Step 3: Cross multiply
    594,144x = 1,272,426.75 × 1,272,426.75
  4. Step 4: Simplify right side
    594,144x = 1,619,069,834,115.56
  5. Step 5: Solve for x
    x = 1,619,069,834,115.56/594,144
  6. Step 6: Final answer
    x = 2,725,046.17

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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.