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Finding the Third Proportional to 814,080 and 1,702,437

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Solution

The third proportional to 814,080 and 1,702,437 is: 3,560,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,080 : 1,702,437 = 1,702,437 : x
  2. Step 2: Convert to fraction form
    814,080/1,702,437 = 1,702,437/x
  3. Step 3: Cross multiply
    814,080x = 1,702,437 × 1,702,437
  4. Step 4: Simplify right side
    814,080x = 2,898,291,738,969
  5. Step 5: Solve for x
    x = 2,898,291,738,969/814,080
  6. Step 6: Final answer
    x = 3,560,205.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.