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Finding the Third Proportional to 652,074 and 1,346,052

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Solution

The third proportional to 652,074 and 1,346,052 is: 2,778,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,074 : 1,346,052 = 1,346,052 : x
  2. Step 2: Convert to fraction form
    652,074/1,346,052 = 1,346,052/x
  3. Step 3: Cross multiply
    652,074x = 1,346,052 × 1,346,052
  4. Step 4: Simplify right side
    652,074x = 1,811,855,986,704
  5. Step 5: Solve for x
    x = 1,811,855,986,704/652,074
  6. Step 6: Final answer
    x = 2,778,604.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.