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Finding the Third Proportional to 943,677 and 2,053,242

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Solution

The third proportional to 943,677 and 2,053,242 is: 4,467,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,677 : 2,053,242 = 2,053,242 : x
  2. Step 2: Convert to fraction form
    943,677/2,053,242 = 2,053,242/x
  3. Step 3: Cross multiply
    943,677x = 2,053,242 × 2,053,242
  4. Step 4: Simplify right side
    943,677x = 4,215,802,710,564
  5. Step 5: Solve for x
    x = 4,215,802,710,564/943,677
  6. Step 6: Final answer
    x = 4,467,421.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.