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Finding the Third Proportional to 652,052 and 1,346,008

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Solution

The third proportional to 652,052 and 1,346,008 is: 2,778,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,052 : 1,346,008 = 1,346,008 : x
  2. Step 2: Convert to fraction form
    652,052/1,346,008 = 1,346,008/x
  3. Step 3: Cross multiply
    652,052x = 1,346,008 × 1,346,008
  4. Step 4: Simplify right side
    652,052x = 1,811,737,536,064
  5. Step 5: Solve for x
    x = 1,811,737,536,064/652,052
  6. Step 6: Final answer
    x = 2,778,516.95

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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.