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Finding the Third Proportional to 933,708 and 2,048,964

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Solution

The third proportional to 933,708 and 2,048,964 is: 4,496,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,708 : 2,048,964 = 2,048,964 : x
  2. Step 2: Convert to fraction form
    933,708/2,048,964 = 2,048,964/x
  3. Step 3: Cross multiply
    933,708x = 2,048,964 × 2,048,964
  4. Step 4: Simplify right side
    933,708x = 4,198,253,473,296
  5. Step 5: Solve for x
    x = 4,198,253,473,296/933,708
  6. Step 6: Final answer
    x = 4,496,323.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.