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Finding the Third Proportional to 594,133 and 1,282,961

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Solution

The third proportional to 594,133 and 1,282,961 is: 2,770,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,133 : 1,282,961 = 1,282,961 : x
  2. Step 2: Convert to fraction form
    594,133/1,282,961 = 1,282,961/x
  3. Step 3: Cross multiply
    594,133x = 1,282,961 × 1,282,961
  4. Step 4: Simplify right side
    594,133x = 1,645,988,927,521
  5. Step 5: Solve for x
    x = 1,645,988,927,521/594,133
  6. Step 6: Final answer
    x = 2,770,404.82

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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.