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Finding the Third Proportional to 589,320 and 1,264,661

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Solution

The third proportional to 589,320 and 1,264,661 is: 2,713,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,320 : 1,264,661 = 1,264,661 : x
  2. Step 2: Convert to fraction form
    589,320/1,264,661 = 1,264,661/x
  3. Step 3: Cross multiply
    589,320x = 1,264,661 × 1,264,661
  4. Step 4: Simplify right side
    589,320x = 1,599,367,444,921
  5. Step 5: Solve for x
    x = 1,599,367,444,921/589,320
  6. Step 6: Final answer
    x = 2,713,920.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.