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Finding the Third Proportional to 794,364 and 1,702,443

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Solution

The third proportional to 794,364 and 1,702,443 is: 3,648,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,364 : 1,702,443 = 1,702,443 : x
  2. Step 2: Convert to fraction form
    794,364/1,702,443 = 1,702,443/x
  3. Step 3: Cross multiply
    794,364x = 1,702,443 × 1,702,443
  4. Step 4: Simplify right side
    794,364x = 2,898,312,168,249
  5. Step 5: Solve for x
    x = 2,898,312,168,249/794,364
  6. Step 6: Final answer
    x = 3,648,594.56

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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.