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Finding the Third Proportional to 597,593 and 1,290,262

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Solution

The third proportional to 597,593 and 1,290,262 is: 2,785,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,593 : 1,290,262 = 1,290,262 : x
  2. Step 2: Convert to fraction form
    597,593/1,290,262 = 1,290,262/x
  3. Step 3: Cross multiply
    597,593x = 1,290,262 × 1,290,262
  4. Step 4: Simplify right side
    597,593x = 1,664,776,028,644
  5. Step 5: Solve for x
    x = 1,664,776,028,644/597,593
  6. Step 6: Final answer
    x = 2,785,802.43

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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.