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Finding the Third Proportional to 1,756,046 and 3,560,536

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Solution

The third proportional to 1,756,046 and 3,560,536 is: 7,219,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,046 : 3,560,536 = 3,560,536 : x
  2. Step 2: Convert to fraction form
    1,756,046/3,560,536 = 3,560,536/x
  3. Step 3: Cross multiply
    1,756,046x = 3,560,536 × 3,560,536
  4. Step 4: Simplify right side
    1,756,046x = 12,677,416,607,296
  5. Step 5: Solve for x
    x = 12,677,416,607,296/1,756,046
  6. Step 6: Final answer
    x = 7,219,296.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.