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Finding the Third Proportional to 594,126 and 1,282,952

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Solution

The third proportional to 594,126 and 1,282,952 is: 2,770,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,126 : 1,282,952 = 1,282,952 : x
  2. Step 2: Convert to fraction form
    594,126/1,282,952 = 1,282,952/x
  3. Step 3: Cross multiply
    594,126x = 1,282,952 × 1,282,952
  4. Step 4: Simplify right side
    594,126x = 1,645,965,834,304
  5. Step 5: Solve for x
    x = 1,645,965,834,304/594,126
  6. Step 6: Final answer
    x = 2,770,398.59

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Why These Related Problems?

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