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Finding the Third Proportional to 597,588 and 1,290,252

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Solution

The third proportional to 597,588 and 1,290,252 is: 2,785,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,588 : 1,290,252 = 1,290,252 : x
  2. Step 2: Convert to fraction form
    597,588/1,290,252 = 1,290,252/x
  3. Step 3: Cross multiply
    597,588x = 1,290,252 × 1,290,252
  4. Step 4: Simplify right side
    597,588x = 1,664,750,223,504
  5. Step 5: Solve for x
    x = 1,664,750,223,504/597,588
  6. Step 6: Final answer
    x = 2,785,782.55

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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.