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Finding the Third Proportional to 741,810 and 1,588,596

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Solution

The third proportional to 741,810 and 1,588,596 is: 3,401,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,810 : 1,588,596 = 1,588,596 : x
  2. Step 2: Convert to fraction form
    741,810/1,588,596 = 1,588,596/x
  3. Step 3: Cross multiply
    741,810x = 1,588,596 × 1,588,596
  4. Step 4: Simplify right side
    741,810x = 2,523,637,251,216
  5. Step 5: Solve for x
    x = 2,523,637,251,216/741,810
  6. Step 6: Final answer
    x = 3,401,999.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.